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Finding the Third Proportional to 220,918.13 and 337,802.25

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Solution

The third proportional to 220,918.13 and 337,802.25 is: 516,527.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,918.13 : 337,802.25 = 337,802.25 : x
  2. Step 2: Convert to fraction form
    220,918.13/337,802.25 = 337,802.25/x
  3. Step 3: Cross multiply
    220,918.13x = 337,802.25 × 337,802.25
  4. Step 4: Simplify right side
    220,918.13x = 114,110,360,105.06
  5. Step 5: Solve for x
    x = 114,110,360,105.06/220,918.13
  6. Step 6: Final answer
    x = 516,527.83

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.