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Finding the Third Proportional to 155,972 and 232,917

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Solution

The third proportional to 155,972 and 232,917 is: 347,820.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,972 : 232,917 = 232,917 : x
  2. Step 2: Convert to fraction form
    155,972/232,917 = 232,917/x
  3. Step 3: Cross multiply
    155,972x = 232,917 × 232,917
  4. Step 4: Simplify right side
    155,972x = 54,250,328,889
  5. Step 5: Solve for x
    x = 54,250,328,889/155,972
  6. Step 6: Final answer
    x = 347,820.95

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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.