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Finding the Third Proportional to 268,039.13 and 416,761.88

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Solution

The third proportional to 268,039.13 and 416,761.88 is: 648,004.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,039.13 : 416,761.88 = 416,761.88 : x
  2. Step 2: Convert to fraction form
    268,039.13/416,761.88 = 416,761.88/x
  3. Step 3: Cross multiply
    268,039.13x = 416,761.88 × 416,761.88
  4. Step 4: Simplify right side
    268,039.13x = 173,690,460,453.52
  5. Step 5: Solve for x
    x = 173,690,460,453.52/268,039.13
  6. Step 6: Final answer
    x = 648,004.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.