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Finding the Third Proportional to 120,723 and 262,437

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Solution

The third proportional to 120,723 and 262,437 is: 570,505.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,723 : 262,437 = 262,437 : x
  2. Step 2: Convert to fraction form
    120,723/262,437 = 262,437/x
  3. Step 3: Cross multiply
    120,723x = 262,437 × 262,437
  4. Step 4: Simplify right side
    120,723x = 68,873,178,969
  5. Step 5: Solve for x
    x = 68,873,178,969/120,723
  6. Step 6: Final answer
    x = 570,505.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.