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Finding the Third Proportional to 155,277 and 235,246

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Solution

The third proportional to 155,277 and 235,246 is: 356,399.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,277 : 235,246 = 235,246 : x
  2. Step 2: Convert to fraction form
    155,277/235,246 = 235,246/x
  3. Step 3: Cross multiply
    155,277x = 235,246 × 235,246
  4. Step 4: Simplify right side
    155,277x = 55,340,680,516
  5. Step 5: Solve for x
    x = 55,340,680,516/155,277
  6. Step 6: Final answer
    x = 356,399.73

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.