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Finding the Third Proportional to 120,519.75 and 262,476

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Solution

The third proportional to 120,519.75 and 262,476 is: 571,637.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,519.75 : 262,476 = 262,476 : x
  2. Step 2: Convert to fraction form
    120,519.75/262,476 = 262,476/x
  3. Step 3: Cross multiply
    120,519.75x = 262,476 × 262,476
  4. Step 4: Simplify right side
    120,519.75x = 68,893,650,576
  5. Step 5: Solve for x
    x = 68,893,650,576/120,519.75
  6. Step 6: Final answer
    x = 571,637.85

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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.