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Finding the Third Proportional to 129,867.75 and 278,214.75

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Solution

The third proportional to 129,867.75 and 278,214.75 is: 596,017.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,867.75 : 278,214.75 = 278,214.75 : x
  2. Step 2: Convert to fraction form
    129,867.75/278,214.75 = 278,214.75/x
  3. Step 3: Cross multiply
    129,867.75x = 278,214.75 × 278,214.75
  4. Step 4: Simplify right side
    129,867.75x = 77,403,447,117.56
  5. Step 5: Solve for x
    x = 77,403,447,117.56/129,867.75
  6. Step 6: Final answer
    x = 596,017.46

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.