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Finding the Third Proportional to 158,182 and 329,486

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Solution

The third proportional to 158,182 and 329,486 is: 686,304.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,182 : 329,486 = 329,486 : x
  2. Step 2: Convert to fraction form
    158,182/329,486 = 329,486/x
  3. Step 3: Cross multiply
    158,182x = 329,486 × 329,486
  4. Step 4: Simplify right side
    158,182x = 108,561,024,196
  5. Step 5: Solve for x
    x = 108,561,024,196/158,182
  6. Step 6: Final answer
    x = 686,304.54

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.