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Finding the Third Proportional to 107,202 and 217,320

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Solution

The third proportional to 107,202 and 217,320 is: 440,551.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,202 : 217,320 = 217,320 : x
  2. Step 2: Convert to fraction form
    107,202/217,320 = 217,320/x
  3. Step 3: Cross multiply
    107,202x = 217,320 × 217,320
  4. Step 4: Simplify right side
    107,202x = 47,227,982,400
  5. Step 5: Solve for x
    x = 47,227,982,400/107,202
  6. Step 6: Final answer
    x = 440,551.32

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.