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Finding the Third Proportional to 149,740.75 and 226,170.50

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Solution

The third proportional to 149,740.75 and 226,170.50 is: 341,611.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,740.75 : 226,170.50 = 226,170.50 : x
  2. Step 2: Convert to fraction form
    149,740.75/226,170.50 = 226,170.50/x
  3. Step 3: Cross multiply
    149,740.75x = 226,170.50 × 226,170.50
  4. Step 4: Simplify right side
    149,740.75x = 51,153,095,070.25
  5. Step 5: Solve for x
    x = 51,153,095,070.25/149,740.75
  6. Step 6: Final answer
    x = 341,611.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.