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Finding the Third Proportional to 74,464 and 160,589

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Solution

The third proportional to 74,464 and 160,589 is: 346,326.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,464 : 160,589 = 160,589 : x
  2. Step 2: Convert to fraction form
    74,464/160,589 = 160,589/x
  3. Step 3: Cross multiply
    74,464x = 160,589 × 160,589
  4. Step 4: Simplify right side
    74,464x = 25,788,826,921
  5. Step 5: Solve for x
    x = 25,788,826,921/74,464
  6. Step 6: Final answer
    x = 346,326.10

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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.