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Finding the Third Proportional to 112,977 and 243,449.75

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Solution

The third proportional to 112,977 and 243,449.75 is: 524,600.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,977 : 243,449.75 = 243,449.75 : x
  2. Step 2: Convert to fraction form
    112,977/243,449.75 = 243,449.75/x
  3. Step 3: Cross multiply
    112,977x = 243,449.75 × 243,449.75
  4. Step 4: Simplify right side
    112,977x = 59,267,780,775.06
  5. Step 5: Solve for x
    x = 59,267,780,775.06/112,977
  6. Step 6: Final answer
    x = 524,600.41

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.