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Finding the Third Proportional to 158,149.50 and 334,638

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Solution

The third proportional to 158,149.50 and 334,638 is: 708,080.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,149.50 : 334,638 = 334,638 : x
  2. Step 2: Convert to fraction form
    158,149.50/334,638 = 334,638/x
  3. Step 3: Cross multiply
    158,149.50x = 334,638 × 334,638
  4. Step 4: Simplify right side
    158,149.50x = 111,982,591,044
  5. Step 5: Solve for x
    x = 111,982,591,044/158,149.50
  6. Step 6: Final answer
    x = 708,080.59

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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.