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Finding the Third Proportional to 34,350 and 74,298

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Solution

The third proportional to 34,350 and 74,298 is: 160,704.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,350 : 74,298 = 74,298 : x
  2. Step 2: Convert to fraction form
    34,350/74,298 = 74,298/x
  3. Step 3: Cross multiply
    34,350x = 74,298 × 74,298
  4. Step 4: Simplify right side
    34,350x = 5,520,192,804
  5. Step 5: Solve for x
    x = 5,520,192,804/34,350
  6. Step 6: Final answer
    x = 160,704.30

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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.