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Finding the Third Proportional to 120,550 and 262,524

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Solution

The third proportional to 120,550 and 262,524 is: 571,703.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,550 : 262,524 = 262,524 : x
  2. Step 2: Convert to fraction form
    120,550/262,524 = 262,524/x
  3. Step 3: Cross multiply
    120,550x = 262,524 × 262,524
  4. Step 4: Simplify right side
    120,550x = 68,918,850,576
  5. Step 5: Solve for x
    x = 68,918,850,576/120,550
  6. Step 6: Final answer
    x = 571,703.45

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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.