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Finding the Third Proportional to 175,385.25 and 273,344.63

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Solution

The third proportional to 175,385.25 and 273,344.63 is: 426,018.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,385.25 : 273,344.63 = 273,344.63 : x
  2. Step 2: Convert to fraction form
    175,385.25/273,344.63 = 273,344.63/x
  3. Step 3: Cross multiply
    175,385.25x = 273,344.63 × 273,344.63
  4. Step 4: Simplify right side
    175,385.25x = 74,717,284,016.39
  5. Step 5: Solve for x
    x = 74,717,284,016.39/175,385.25
  6. Step 6: Final answer
    x = 426,018.06

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.