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Finding the Third Proportional to 74,471 and 160,606

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Solution

The third proportional to 74,471 and 160,606 is: 346,366.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,471 : 160,606 = 160,606 : x
  2. Step 2: Convert to fraction form
    74,471/160,606 = 160,606/x
  3. Step 3: Cross multiply
    74,471x = 160,606 × 160,606
  4. Step 4: Simplify right side
    74,471x = 25,794,287,236
  5. Step 5: Solve for x
    x = 25,794,287,236/74,471
  6. Step 6: Final answer
    x = 346,366.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.