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Finding the Third Proportional to 174,306.75 and 369,542.25

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Solution

The third proportional to 174,306.75 and 369,542.25 is: 783,454.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,306.75 : 369,542.25 = 369,542.25 : x
  2. Step 2: Convert to fraction form
    174,306.75/369,542.25 = 369,542.25/x
  3. Step 3: Cross multiply
    174,306.75x = 369,542.25 × 369,542.25
  4. Step 4: Simplify right side
    174,306.75x = 136,561,474,535.06
  5. Step 5: Solve for x
    x = 136,561,474,535.06/174,306.75
  6. Step 6: Final answer
    x = 783,454.88

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.