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Finding the Third Proportional to 235,956.38 and 353,959.88

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Solution

The third proportional to 235,956.38 and 353,959.88 is: 530,977.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,956.38 : 353,959.88 = 353,959.88 : x
  2. Step 2: Convert to fraction form
    235,956.38/353,959.88 = 353,959.88/x
  3. Step 3: Cross multiply
    235,956.38x = 353,959.88 × 353,959.88
  4. Step 4: Simplify right side
    235,956.38x = 125,287,593,110.02
  5. Step 5: Solve for x
    x = 125,287,593,110.02/235,956.38
  6. Step 6: Final answer
    x = 530,977.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.