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Finding the Third Proportional to 174,968.44 and 278,542.13

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Solution

The third proportional to 174,968.44 and 278,542.13 is: 443,426.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,968.44 : 278,542.13 = 278,542.13 : x
  2. Step 2: Convert to fraction form
    174,968.44/278,542.13 = 278,542.13/x
  3. Step 3: Cross multiply
    174,968.44x = 278,542.13 × 278,542.13
  4. Step 4: Simplify right side
    174,968.44x = 77,585,715,399.52
  5. Step 5: Solve for x
    x = 77,585,715,399.52/174,968.44
  6. Step 6: Final answer
    x = 443,426.92

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.