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Finding the Third Proportional to 135,250 and 288,592

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Solution

The third proportional to 135,250 and 288,592 is: 615,788.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,250 : 288,592 = 288,592 : x
  2. Step 2: Convert to fraction form
    135,250/288,592 = 288,592/x
  3. Step 3: Cross multiply
    135,250x = 288,592 × 288,592
  4. Step 4: Simplify right side
    135,250x = 83,285,342,464
  5. Step 5: Solve for x
    x = 83,285,342,464/135,250
  6. Step 6: Final answer
    x = 615,788.11

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.