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Finding the Third Proportional to 174,755 and 381,262

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Solution

The third proportional to 174,755 and 381,262 is: 831,797.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,755 : 381,262 = 381,262 : x
  2. Step 2: Convert to fraction form
    174,755/381,262 = 381,262/x
  3. Step 3: Cross multiply
    174,755x = 381,262 × 381,262
  4. Step 4: Simplify right side
    174,755x = 145,360,712,644
  5. Step 5: Solve for x
    x = 145,360,712,644/174,755
  6. Step 6: Final answer
    x = 831,797.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.