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Finding the Third Proportional to 175,997.81 and 252,001.13

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Solution

The third proportional to 175,997.81 and 252,001.13 is: 360,825.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,997.81 : 252,001.13 = 252,001.13 : x
  2. Step 2: Convert to fraction form
    175,997.81/252,001.13 = 252,001.13/x
  3. Step 3: Cross multiply
    175,997.81x = 252,001.13 × 252,001.13
  4. Step 4: Simplify right side
    175,997.81x = 63,504,567,001.27
  5. Step 5: Solve for x
    x = 63,504,567,001.27/175,997.81
  6. Step 6: Final answer
    x = 360,825.89

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.