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Finding the Third Proportional to 247,880 and 334,092

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Solution

The third proportional to 247,880 and 334,092 is: 450,288.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,880 : 334,092 = 334,092 : x
  2. Step 2: Convert to fraction form
    247,880/334,092 = 334,092/x
  3. Step 3: Cross multiply
    247,880x = 334,092 × 334,092
  4. Step 4: Simplify right side
    247,880x = 111,617,464,464
  5. Step 5: Solve for x
    x = 111,617,464,464/247,880
  6. Step 6: Final answer
    x = 450,288.30

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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.