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Finding the Third Proportional to 172,432 and 372,048

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Solution

The third proportional to 172,432 and 372,048 is: 802,749.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,432 : 372,048 = 372,048 : x
  2. Step 2: Convert to fraction form
    172,432/372,048 = 372,048/x
  3. Step 3: Cross multiply
    172,432x = 372,048 × 372,048
  4. Step 4: Simplify right side
    172,432x = 138,419,714,304
  5. Step 5: Solve for x
    x = 138,419,714,304/172,432
  6. Step 6: Final answer
    x = 802,749.57

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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.