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Finding the Third Proportional to 149,964.75 and 354,013.88

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Solution

The third proportional to 149,964.75 and 354,013.88 is: 835,701.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,964.75 : 354,013.88 = 354,013.88 : x
  2. Step 2: Convert to fraction form
    149,964.75/354,013.88 = 354,013.88/x
  3. Step 3: Cross multiply
    149,964.75x = 354,013.88 × 354,013.88
  4. Step 4: Simplify right side
    149,964.75x = 125,325,823,692.52
  5. Step 5: Solve for x
    x = 125,325,823,692.52/149,964.75
  6. Step 6: Final answer
    x = 835,701.88

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.