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Finding the Third Proportional to 129,541.25 and 278,765.75

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Solution

The third proportional to 129,541.25 and 278,765.75 is: 599,888.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,541.25 : 278,765.75 = 278,765.75 : x
  2. Step 2: Convert to fraction form
    129,541.25/278,765.75 = 278,765.75/x
  3. Step 3: Cross multiply
    129,541.25x = 278,765.75 × 278,765.75
  4. Step 4: Simplify right side
    129,541.25x = 77,710,343,373.06
  5. Step 5: Solve for x
    x = 77,710,343,373.06/129,541.25
  6. Step 6: Final answer
    x = 599,888.79

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.