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Finding the Third Proportional to 75,278.25 and 163,680.75

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Solution

The third proportional to 75,278.25 and 163,680.75 is: 355,898.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,278.25 : 163,680.75 = 163,680.75 : x
  2. Step 2: Convert to fraction form
    75,278.25/163,680.75 = 163,680.75/x
  3. Step 3: Cross multiply
    75,278.25x = 163,680.75 × 163,680.75
  4. Step 4: Simplify right side
    75,278.25x = 26,791,387,920.56
  5. Step 5: Solve for x
    x = 26,791,387,920.56/75,278.25
  6. Step 6: Final answer
    x = 355,898.12

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.