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Finding the Third Proportional to 171,432 and 374,592

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Solution

The third proportional to 171,432 and 374,592 is: 818,512.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,432 : 374,592 = 374,592 : x
  2. Step 2: Convert to fraction form
    171,432/374,592 = 374,592/x
  3. Step 3: Cross multiply
    171,432x = 374,592 × 374,592
  4. Step 4: Simplify right side
    171,432x = 140,319,166,464
  5. Step 5: Solve for x
    x = 140,319,166,464/171,432
  6. Step 6: Final answer
    x = 818,512.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.