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Finding the Third Proportional to 174,961.69 and 270,177.19

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Solution

The third proportional to 174,961.69 and 270,177.19 is: 417,209.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,961.69 : 270,177.19 = 270,177.19 : x
  2. Step 2: Convert to fraction form
    174,961.69/270,177.19 = 270,177.19/x
  3. Step 3: Cross multiply
    174,961.69x = 270,177.19 × 270,177.19
  4. Step 4: Simplify right side
    174,961.69x = 72,995,712,645.41
  5. Step 5: Solve for x
    x = 72,995,712,645.41/174,961.69
  6. Step 6: Final answer
    x = 417,209.70

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.