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Finding the Third Proportional to 115,959 and 244,359

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Solution

The third proportional to 115,959 and 244,359 is: 514,934.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,959 : 244,359 = 244,359 : x
  2. Step 2: Convert to fraction form
    115,959/244,359 = 244,359/x
  3. Step 3: Cross multiply
    115,959x = 244,359 × 244,359
  4. Step 4: Simplify right side
    115,959x = 59,711,320,881
  5. Step 5: Solve for x
    x = 59,711,320,881/115,959
  6. Step 6: Final answer
    x = 514,934.77

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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.