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Finding the Third Proportional to 217,572 and 316,890

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Solution

The third proportional to 217,572 and 316,890 is: 461,545.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,572 : 316,890 = 316,890 : x
  2. Step 2: Convert to fraction form
    217,572/316,890 = 316,890/x
  3. Step 3: Cross multiply
    217,572x = 316,890 × 316,890
  4. Step 4: Simplify right side
    217,572x = 100,419,272,100
  5. Step 5: Solve for x
    x = 100,419,272,100/217,572
  6. Step 6: Final answer
    x = 461,545.02

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.