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Finding the Third Proportional to 117,432 and 261,757

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Solution

The third proportional to 117,432 and 261,757 is: 583,458.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,432 : 261,757 = 261,757 : x
  2. Step 2: Convert to fraction form
    117,432/261,757 = 261,757/x
  3. Step 3: Cross multiply
    117,432x = 261,757 × 261,757
  4. Step 4: Simplify right side
    117,432x = 68,516,727,049
  5. Step 5: Solve for x
    x = 68,516,727,049/117,432
  6. Step 6: Final answer
    x = 583,458.74

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.