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Finding the Third Proportional to 110,374.88 and 233,898.75

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Solution

The third proportional to 110,374.88 and 233,898.75 is: 495,661.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,374.88 : 233,898.75 = 233,898.75 : x
  2. Step 2: Convert to fraction form
    110,374.88/233,898.75 = 233,898.75/x
  3. Step 3: Cross multiply
    110,374.88x = 233,898.75 × 233,898.75
  4. Step 4: Simplify right side
    110,374.88x = 54,708,625,251.56
  5. Step 5: Solve for x
    x = 54,708,625,251.56/110,374.88
  6. Step 6: Final answer
    x = 495,661.95

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.