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Finding the Third Proportional to 176,536 and 261,374

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Solution

The third proportional to 176,536 and 261,374 is: 386,982.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,536 : 261,374 = 261,374 : x
  2. Step 2: Convert to fraction form
    176,536/261,374 = 261,374/x
  3. Step 3: Cross multiply
    176,536x = 261,374 × 261,374
  4. Step 4: Simplify right side
    176,536x = 68,316,367,876
  5. Step 5: Solve for x
    x = 68,316,367,876/176,536
  6. Step 6: Final answer
    x = 386,982.64

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.