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Finding the Third Proportional to 185,684 and 250,745

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Solution

The third proportional to 185,684 and 250,745 is: 338,602.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,684 : 250,745 = 250,745 : x
  2. Step 2: Convert to fraction form
    185,684/250,745 = 250,745/x
  3. Step 3: Cross multiply
    185,684x = 250,745 × 250,745
  4. Step 4: Simplify right side
    185,684x = 62,873,055,025
  5. Step 5: Solve for x
    x = 62,873,055,025/185,684
  6. Step 6: Final answer
    x = 338,602.44

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.