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Finding the Third Proportional to 146,315 and 232,163

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Solution

The third proportional to 146,315 and 232,163 is: 368,380.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,315 : 232,163 = 232,163 : x
  2. Step 2: Convert to fraction form
    146,315/232,163 = 232,163/x
  3. Step 3: Cross multiply
    146,315x = 232,163 × 232,163
  4. Step 4: Simplify right side
    146,315x = 53,899,658,569
  5. Step 5: Solve for x
    x = 53,899,658,569/146,315
  6. Step 6: Final answer
    x = 368,380.95

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.