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Finding the Third Proportional to 158,204 and 341,272

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Solution

The third proportional to 158,204 and 341,272 is: 736,179.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,204 : 341,272 = 341,272 : x
  2. Step 2: Convert to fraction form
    158,204/341,272 = 341,272/x
  3. Step 3: Cross multiply
    158,204x = 341,272 × 341,272
  4. Step 4: Simplify right side
    158,204x = 116,466,577,984
  5. Step 5: Solve for x
    x = 116,466,577,984/158,204
  6. Step 6: Final answer
    x = 736,179.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.