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Finding the Third Proportional to 229,996.13 and 537,229.13

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Solution

The third proportional to 229,996.13 and 537,229.13 is: 1,254,869.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,996.13 : 537,229.13 = 537,229.13 : x
  2. Step 2: Convert to fraction form
    229,996.13/537,229.13 = 537,229.13/x
  3. Step 3: Cross multiply
    229,996.13x = 537,229.13 × 537,229.13
  4. Step 4: Simplify right side
    229,996.13x = 288,615,132,748.27
  5. Step 5: Solve for x
    x = 288,615,132,748.27/229,996.13
  6. Step 6: Final answer
    x = 1,254,869.55

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.