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Finding the Third Proportional to 120,937 and 282,407

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Solution

The third proportional to 120,937 and 282,407 is: 659,464.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,937 : 282,407 = 282,407 : x
  2. Step 2: Convert to fraction form
    120,937/282,407 = 282,407/x
  3. Step 3: Cross multiply
    120,937x = 282,407 × 282,407
  4. Step 4: Simplify right side
    120,937x = 79,753,713,649
  5. Step 5: Solve for x
    x = 79,753,713,649/120,937
  6. Step 6: Final answer
    x = 659,464.96

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.