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Finding the Third Proportional to 162,578 and 217,458

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Solution

The third proportional to 162,578 and 217,458 is: 290,863.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,578 : 217,458 = 217,458 : x
  2. Step 2: Convert to fraction form
    162,578/217,458 = 217,458/x
  3. Step 3: Cross multiply
    162,578x = 217,458 × 217,458
  4. Step 4: Simplify right side
    162,578x = 47,287,981,764
  5. Step 5: Solve for x
    x = 47,287,981,764/162,578
  6. Step 6: Final answer
    x = 290,863.35

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.