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Finding the Third Proportional to 155,046.75 and 233,478

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Solution

The third proportional to 155,046.75 and 233,478 is: 351,584.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,046.75 : 233,478 = 233,478 : x
  2. Step 2: Convert to fraction form
    155,046.75/233,478 = 233,478/x
  3. Step 3: Cross multiply
    155,046.75x = 233,478 × 233,478
  4. Step 4: Simplify right side
    155,046.75x = 54,511,976,484
  5. Step 5: Solve for x
    x = 54,511,976,484/155,046.75
  6. Step 6: Final answer
    x = 351,584.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.