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Finding the Third Proportional to 113,514 and 246,711

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Solution

The third proportional to 113,514 and 246,711 is: 536,200.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,514 : 246,711 = 246,711 : x
  2. Step 2: Convert to fraction form
    113,514/246,711 = 246,711/x
  3. Step 3: Cross multiply
    113,514x = 246,711 × 246,711
  4. Step 4: Simplify right side
    113,514x = 60,866,317,521
  5. Step 5: Solve for x
    x = 60,866,317,521/113,514
  6. Step 6: Final answer
    x = 536,200.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.