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Finding the Third Proportional to 104,102.25 and 226,042.50

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Solution

The third proportional to 104,102.25 and 226,042.50 is: 490,817.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,102.25 : 226,042.50 = 226,042.50 : x
  2. Step 2: Convert to fraction form
    104,102.25/226,042.50 = 226,042.50/x
  3. Step 3: Cross multiply
    104,102.25x = 226,042.50 × 226,042.50
  4. Step 4: Simplify right side
    104,102.25x = 51,095,211,806.25
  5. Step 5: Solve for x
    x = 51,095,211,806.25/104,102.25
  6. Step 6: Final answer
    x = 490,817.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.