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Finding the Third Proportional to 120,264.75 and 259,797.38

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Solution

The third proportional to 120,264.75 and 259,797.38 is: 561,217.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,264.75 : 259,797.38 = 259,797.38 : x
  2. Step 2: Convert to fraction form
    120,264.75/259,797.38 = 259,797.38/x
  3. Step 3: Cross multiply
    120,264.75x = 259,797.38 × 259,797.38
  4. Step 4: Simplify right side
    120,264.75x = 67,494,676,056.89
  5. Step 5: Solve for x
    x = 67,494,676,056.89/120,264.75
  6. Step 6: Final answer
    x = 561,217.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.