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Finding the Third Proportional to 135,226 and 288,552

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Solution

The third proportional to 135,226 and 288,552 is: 615,726.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,226 : 288,552 = 288,552 : x
  2. Step 2: Convert to fraction form
    135,226/288,552 = 288,552/x
  3. Step 3: Cross multiply
    135,226x = 288,552 × 288,552
  4. Step 4: Simplify right side
    135,226x = 83,262,256,704
  5. Step 5: Solve for x
    x = 83,262,256,704/135,226
  6. Step 6: Final answer
    x = 615,726.68

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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.