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Finding the Third Proportional to 155,974 and 232,920

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Solution

The third proportional to 155,974 and 232,920 is: 347,825.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,974 : 232,920 = 232,920 : x
  2. Step 2: Convert to fraction form
    155,974/232,920 = 232,920/x
  3. Step 3: Cross multiply
    155,974x = 232,920 × 232,920
  4. Step 4: Simplify right side
    155,974x = 54,251,726,400
  5. Step 5: Solve for x
    x = 54,251,726,400/155,974
  6. Step 6: Final answer
    x = 347,825.45

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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.