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Finding the Third Proportional to 112,002.75 and 243,690.75

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Solution

The third proportional to 112,002.75 and 243,690.75 is: 530,211.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,002.75 : 243,690.75 = 243,690.75 : x
  2. Step 2: Convert to fraction form
    112,002.75/243,690.75 = 243,690.75/x
  3. Step 3: Cross multiply
    112,002.75x = 243,690.75 × 243,690.75
  4. Step 4: Simplify right side
    112,002.75x = 59,385,181,635.56
  5. Step 5: Solve for x
    x = 59,385,181,635.56/112,002.75
  6. Step 6: Final answer
    x = 530,211.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.