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Finding the Third Proportional to 149,125.50 and 225,860.06

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Solution

The third proportional to 149,125.50 and 225,860.06 is: 342,079.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,125.50 : 225,860.06 = 225,860.06 : x
  2. Step 2: Convert to fraction form
    149,125.50/225,860.06 = 225,860.06/x
  3. Step 3: Cross multiply
    149,125.50x = 225,860.06 × 225,860.06
  4. Step 4: Simplify right side
    149,125.50x = 51,012,767,832.50
  5. Step 5: Solve for x
    x = 51,012,767,832.50/149,125.50
  6. Step 6: Final answer
    x = 342,079.44

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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.