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Finding the Third Proportional to 74,606 and 160,255

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Solution

The third proportional to 74,606 and 160,255 is: 344,230.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,606 : 160,255 = 160,255 : x
  2. Step 2: Convert to fraction form
    74,606/160,255 = 160,255/x
  3. Step 3: Cross multiply
    74,606x = 160,255 × 160,255
  4. Step 4: Simplify right side
    74,606x = 25,681,665,025
  5. Step 5: Solve for x
    x = 25,681,665,025/74,606
  6. Step 6: Final answer
    x = 344,230.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.