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Finding the Third Proportional to 268,116.75 and 398,530.13

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Solution

The third proportional to 268,116.75 and 398,530.13 is: 592,377.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,116.75 : 398,530.13 = 398,530.13 : x
  2. Step 2: Convert to fraction form
    268,116.75/398,530.13 = 398,530.13/x
  3. Step 3: Cross multiply
    268,116.75x = 398,530.13 × 398,530.13
  4. Step 4: Simplify right side
    268,116.75x = 158,826,260,532.52
  5. Step 5: Solve for x
    x = 158,826,260,532.52/268,116.75
  6. Step 6: Final answer
    x = 592,377.24

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.