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Finding the Third Proportional to 229,498.31 and 261,073.13

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Solution

The third proportional to 229,498.31 and 261,073.13 is: 296,992.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,498.31 : 261,073.13 = 261,073.13 : x
  2. Step 2: Convert to fraction form
    229,498.31/261,073.13 = 261,073.13/x
  3. Step 3: Cross multiply
    229,498.31x = 261,073.13 × 261,073.13
  4. Step 4: Simplify right side
    229,498.31x = 68,159,176,597.27
  5. Step 5: Solve for x
    x = 68,159,176,597.27/229,498.31
  6. Step 6: Final answer
    x = 296,992.06

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.