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Finding the Third Proportional to 175,600 and 372,098

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Solution

The third proportional to 175,600 and 372,098 is: 788,479.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,600 : 372,098 = 372,098 : x
  2. Step 2: Convert to fraction form
    175,600/372,098 = 372,098/x
  3. Step 3: Cross multiply
    175,600x = 372,098 × 372,098
  4. Step 4: Simplify right side
    175,600x = 138,456,921,604
  5. Step 5: Solve for x
    x = 138,456,921,604/175,600
  6. Step 6: Final answer
    x = 788,479.05

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.