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Finding the Third Proportional to 235,023.75 and 342,694.13

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Solution

The third proportional to 235,023.75 and 342,694.13 is: 499,691.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,023.75 : 342,694.13 = 342,694.13 : x
  2. Step 2: Convert to fraction form
    235,023.75/342,694.13 = 342,694.13/x
  3. Step 3: Cross multiply
    235,023.75x = 342,694.13 × 342,694.13
  4. Step 4: Simplify right side
    235,023.75x = 117,439,263,309.52
  5. Step 5: Solve for x
    x = 117,439,263,309.52/235,023.75
  6. Step 6: Final answer
    x = 499,691.05

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.