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Finding the Third Proportional to 158,084 and 231,203

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Solution

The third proportional to 158,084 and 231,203 is: 338,141.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,084 : 231,203 = 231,203 : x
  2. Step 2: Convert to fraction form
    158,084/231,203 = 231,203/x
  3. Step 3: Cross multiply
    158,084x = 231,203 × 231,203
  4. Step 4: Simplify right side
    158,084x = 53,454,827,209
  5. Step 5: Solve for x
    x = 53,454,827,209/158,084
  6. Step 6: Final answer
    x = 338,141.92

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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.