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Finding the Third Proportional to 145,568 and 217,458

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Solution

The third proportional to 145,568 and 217,458 is: 324,851.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,568 : 217,458 = 217,458 : x
  2. Step 2: Convert to fraction form
    145,568/217,458 = 217,458/x
  3. Step 3: Cross multiply
    145,568x = 217,458 × 217,458
  4. Step 4: Simplify right side
    145,568x = 47,287,981,764
  5. Step 5: Solve for x
    x = 47,287,981,764/145,568
  6. Step 6: Final answer
    x = 324,851.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.