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Finding the Third Proportional to 174,335.25 and 375,255.50

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Solution

The third proportional to 174,335.25 and 375,255.50 is: 807,735.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,335.25 : 375,255.50 = 375,255.50 : x
  2. Step 2: Convert to fraction form
    174,335.25/375,255.50 = 375,255.50/x
  3. Step 3: Cross multiply
    174,335.25x = 375,255.50 × 375,255.50
  4. Step 4: Simplify right side
    174,335.25x = 140,816,690,280.25
  5. Step 5: Solve for x
    x = 140,816,690,280.25/174,335.25
  6. Step 6: Final answer
    x = 807,735.04

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.