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Finding the Third Proportional to 155,500.50 and 287,640

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Solution

The third proportional to 155,500.50 and 287,640 is: 532,067.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,500.50 : 287,640 = 287,640 : x
  2. Step 2: Convert to fraction form
    155,500.50/287,640 = 287,640/x
  3. Step 3: Cross multiply
    155,500.50x = 287,640 × 287,640
  4. Step 4: Simplify right side
    155,500.50x = 82,736,769,600
  5. Step 5: Solve for x
    x = 82,736,769,600/155,500.50
  6. Step 6: Final answer
    x = 532,067.55

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These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.