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Finding the Third Proportional to 175,734 and 386,448

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Solution

The third proportional to 175,734 and 386,448 is: 849,818.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,734 : 386,448 = 386,448 : x
  2. Step 2: Convert to fraction form
    175,734/386,448 = 386,448/x
  3. Step 3: Cross multiply
    175,734x = 386,448 × 386,448
  4. Step 4: Simplify right side
    175,734x = 149,342,056,704
  5. Step 5: Solve for x
    x = 149,342,056,704/175,734
  6. Step 6: Final answer
    x = 849,818.80

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.