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Finding the Third Proportional to 115,926.75 and 244,306.13

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Solution

The third proportional to 115,926.75 and 244,306.13 is: 514,855.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,926.75 : 244,306.13 = 244,306.13 : x
  2. Step 2: Convert to fraction form
    115,926.75/244,306.13 = 244,306.13/x
  3. Step 3: Cross multiply
    115,926.75x = 244,306.13 × 244,306.13
  4. Step 4: Simplify right side
    115,926.75x = 59,685,482,712.52
  5. Step 5: Solve for x
    x = 59,685,482,712.52/115,926.75
  6. Step 6: Final answer
    x = 514,855.14

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.