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Finding the Third Proportional to 74,458 and 159,304

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Solution

The third proportional to 74,458 and 159,304 is: 340,833.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,458 : 159,304 = 159,304 : x
  2. Step 2: Convert to fraction form
    74,458/159,304 = 159,304/x
  3. Step 3: Cross multiply
    74,458x = 159,304 × 159,304
  4. Step 4: Simplify right side
    74,458x = 25,377,764,416
  5. Step 5: Solve for x
    x = 25,377,764,416/74,458
  6. Step 6: Final answer
    x = 340,833.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.