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Finding the Third Proportional to 247,861.13 and 334,423.50

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Solution

The third proportional to 247,861.13 and 334,423.50 is: 451,216.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,861.13 : 334,423.50 = 334,423.50 : x
  2. Step 2: Convert to fraction form
    247,861.13/334,423.50 = 334,423.50/x
  3. Step 3: Cross multiply
    247,861.13x = 334,423.50 × 334,423.50
  4. Step 4: Simplify right side
    247,861.13x = 111,839,077,352.25
  5. Step 5: Solve for x
    x = 111,839,077,352.25/247,861.13
  6. Step 6: Final answer
    x = 451,216.69

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.