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Finding the Third Proportional to 120,540.75 and 262,510.88

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Solution

The third proportional to 120,540.75 and 262,510.88 is: 571,690.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,540.75 : 262,510.88 = 262,510.88 : x
  2. Step 2: Convert to fraction form
    120,540.75/262,510.88 = 262,510.88/x
  3. Step 3: Cross multiply
    120,540.75x = 262,510.88 × 262,510.88
  4. Step 4: Simplify right side
    120,540.75x = 68,911,959,493.27
  5. Step 5: Solve for x
    x = 68,911,959,493.27/120,540.75
  6. Step 6: Final answer
    x = 571,690.15

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