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Finding the Third Proportional to 133,086 and 288,555

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Solution

The third proportional to 133,086 and 288,555 is: 625,640.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,086 : 288,555 = 288,555 : x
  2. Step 2: Convert to fraction form
    133,086/288,555 = 288,555/x
  3. Step 3: Cross multiply
    133,086x = 288,555 × 288,555
  4. Step 4: Simplify right side
    133,086x = 83,263,988,025
  5. Step 5: Solve for x
    x = 83,263,988,025/133,086
  6. Step 6: Final answer
    x = 625,640.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.