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Finding the Third Proportional to 207,877 and 229,747

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Solution

The third proportional to 207,877 and 229,747 is: 253,917.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,877 : 229,747 = 229,747 : x
  2. Step 2: Convert to fraction form
    207,877/229,747 = 229,747/x
  3. Step 3: Cross multiply
    207,877x = 229,747 × 229,747
  4. Step 4: Simplify right side
    207,877x = 52,783,684,009
  5. Step 5: Solve for x
    x = 52,783,684,009/207,877
  6. Step 6: Final answer
    x = 253,917.86

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.