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Finding the Third Proportional to 217,402 and 285,882

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Solution

The third proportional to 217,402 and 285,882 is: 375,932.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,402 : 285,882 = 285,882 : x
  2. Step 2: Convert to fraction form
    217,402/285,882 = 285,882/x
  3. Step 3: Cross multiply
    217,402x = 285,882 × 285,882
  4. Step 4: Simplify right side
    217,402x = 81,728,517,924
  5. Step 5: Solve for x
    x = 81,728,517,924/217,402
  6. Step 6: Final answer
    x = 375,932.69

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.