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Finding the Third Proportional to 172,519.50 and 372,741

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Solution

The third proportional to 172,519.50 and 372,741 is: 805,334.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,519.50 : 372,741 = 372,741 : x
  2. Step 2: Convert to fraction form
    172,519.50/372,741 = 372,741/x
  3. Step 3: Cross multiply
    172,519.50x = 372,741 × 372,741
  4. Step 4: Simplify right side
    172,519.50x = 138,935,853,081
  5. Step 5: Solve for x
    x = 138,935,853,081/172,519.50
  6. Step 6: Final answer
    x = 805,334.20

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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.