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Finding the Third Proportional to 158,376 and 336,186

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Solution

The third proportional to 158,376 and 336,186 is: 713,624.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,376 : 336,186 = 336,186 : x
  2. Step 2: Convert to fraction form
    158,376/336,186 = 336,186/x
  3. Step 3: Cross multiply
    158,376x = 336,186 × 336,186
  4. Step 4: Simplify right side
    158,376x = 113,021,026,596
  5. Step 5: Solve for x
    x = 113,021,026,596/158,376
  6. Step 6: Final answer
    x = 713,624.71

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.