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Finding the Third Proportional to 129,933 and 283,842

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Solution

The third proportional to 129,933 and 283,842 is: 620,060.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,933 : 283,842 = 283,842 : x
  2. Step 2: Convert to fraction form
    129,933/283,842 = 283,842/x
  3. Step 3: Cross multiply
    129,933x = 283,842 × 283,842
  4. Step 4: Simplify right side
    129,933x = 80,566,280,964
  5. Step 5: Solve for x
    x = 80,566,280,964/129,933
  6. Step 6: Final answer
    x = 620,060.19

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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.