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Finding the Third Proportional to 107,732 and 229,288

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Solution

The third proportional to 107,732 and 229,288 is: 487,997.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,732 : 229,288 = 229,288 : x
  2. Step 2: Convert to fraction form
    107,732/229,288 = 229,288/x
  3. Step 3: Cross multiply
    107,732x = 229,288 × 229,288
  4. Step 4: Simplify right side
    107,732x = 52,572,986,944
  5. Step 5: Solve for x
    x = 52,572,986,944/107,732
  6. Step 6: Final answer
    x = 487,997.87

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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.