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Finding the Third Proportional to 155,452 and 232,215

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Solution

The third proportional to 155,452 and 232,215 is: 346,883.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,452 : 232,215 = 232,215 : x
  2. Step 2: Convert to fraction form
    155,452/232,215 = 232,215/x
  3. Step 3: Cross multiply
    155,452x = 232,215 × 232,215
  4. Step 4: Simplify right side
    155,452x = 53,923,806,225
  5. Step 5: Solve for x
    x = 53,923,806,225/155,452
  6. Step 6: Final answer
    x = 346,883.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.