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Finding the Third Proportional to 74,304 and 160,218

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Solution

The third proportional to 74,304 and 160,218 is: 345,470.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,304 : 160,218 = 160,218 : x
  2. Step 2: Convert to fraction form
    74,304/160,218 = 160,218/x
  3. Step 3: Cross multiply
    74,304x = 160,218 × 160,218
  4. Step 4: Simplify right side
    74,304x = 25,669,807,524
  5. Step 5: Solve for x
    x = 25,669,807,524/74,304
  6. Step 6: Final answer
    x = 345,470.06

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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.