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Finding the Third Proportional to 158,092 and 231,215

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Solution

The third proportional to 158,092 and 231,215 is: 338,159.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,092 : 231,215 = 231,215 : x
  2. Step 2: Convert to fraction form
    158,092/231,215 = 231,215/x
  3. Step 3: Cross multiply
    158,092x = 231,215 × 231,215
  4. Step 4: Simplify right side
    158,092x = 53,460,376,225
  5. Step 5: Solve for x
    x = 53,460,376,225/158,092
  6. Step 6: Final answer
    x = 338,159.91

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.