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Finding the Third Proportional to 135,887 and 288,217

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Solution

The third proportional to 135,887 and 288,217 is: 611,309.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,887 : 288,217 = 288,217 : x
  2. Step 2: Convert to fraction form
    135,887/288,217 = 288,217/x
  3. Step 3: Cross multiply
    135,887x = 288,217 × 288,217
  4. Step 4: Simplify right side
    135,887x = 83,069,039,089
  5. Step 5: Solve for x
    x = 83,069,039,089/135,887
  6. Step 6: Final answer
    x = 611,309.68

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.