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Finding the Third Proportional to 179,943.38 and 393,785.25

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Solution

The third proportional to 179,943.38 and 393,785.25 is: 861,753.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,943.38 : 393,785.25 = 393,785.25 : x
  2. Step 2: Convert to fraction form
    179,943.38/393,785.25 = 393,785.25/x
  3. Step 3: Cross multiply
    179,943.38x = 393,785.25 × 393,785.25
  4. Step 4: Simplify right side
    179,943.38x = 155,066,823,117.56
  5. Step 5: Solve for x
    x = 155,066,823,117.56/179,943.38
  6. Step 6: Final answer
    x = 861,753.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.