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Finding the Third Proportional to 175,142.25 and 270,884.25

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Solution

The third proportional to 175,142.25 and 270,884.25 is: 418,963.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,142.25 : 270,884.25 = 270,884.25 : x
  2. Step 2: Convert to fraction form
    175,142.25/270,884.25 = 270,884.25/x
  3. Step 3: Cross multiply
    175,142.25x = 270,884.25 × 270,884.25
  4. Step 4: Simplify right side
    175,142.25x = 73,378,276,898.06
  5. Step 5: Solve for x
    x = 73,378,276,898.06/175,142.25
  6. Step 6: Final answer
    x = 418,963.88

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