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Finding the Third Proportional to 74,449 and 160,569

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Solution

The third proportional to 74,449 and 160,569 is: 346,309.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,449 : 160,569 = 160,569 : x
  2. Step 2: Convert to fraction form
    74,449/160,569 = 160,569/x
  3. Step 3: Cross multiply
    74,449x = 160,569 × 160,569
  4. Step 4: Simplify right side
    74,449x = 25,782,403,761
  5. Step 5: Solve for x
    x = 25,782,403,761/74,449
  6. Step 6: Final answer
    x = 346,309.60

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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.