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Finding the Third Proportional to 175,637.74 and 365,080.92

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Solution

The third proportional to 175,637.74 and 365,080.92 is: 758,857.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,637.74 : 365,080.92 = 365,080.92 : x
  2. Step 2: Convert to fraction form
    175,637.74/365,080.92 = 365,080.92/x
  3. Step 3: Cross multiply
    175,637.74x = 365,080.92 × 365,080.92
  4. Step 4: Simplify right side
    175,637.74x = 133,284,079,517.10
  5. Step 5: Solve for x
    x = 133,284,079,517.10/175,637.74
  6. Step 6: Final answer
    x = 758,857.85

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.