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Finding the Third Proportional to 176,534 and 261,371

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Solution

The third proportional to 176,534 and 261,371 is: 386,978.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,534 : 261,371 = 261,371 : x
  2. Step 2: Convert to fraction form
    176,534/261,371 = 261,371/x
  3. Step 3: Cross multiply
    176,534x = 261,371 × 261,371
  4. Step 4: Simplify right side
    176,534x = 68,314,799,641
  5. Step 5: Solve for x
    x = 68,314,799,641/176,534
  6. Step 6: Final answer
    x = 386,978.14

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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.