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Finding the Third Proportional to 74,272 and 160,382

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Solution

The third proportional to 74,272 and 160,382 is: 346,326.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,272 : 160,382 = 160,382 : x
  2. Step 2: Convert to fraction form
    74,272/160,382 = 160,382/x
  3. Step 3: Cross multiply
    74,272x = 160,382 × 160,382
  4. Step 4: Simplify right side
    74,272x = 25,722,385,924
  5. Step 5: Solve for x
    x = 25,722,385,924/74,272
  6. Step 6: Final answer
    x = 346,326.82

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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.