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Finding the Third Proportional to 182,674 and 268,107

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Solution

The third proportional to 182,674 and 268,107 is: 393,495.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,674 : 268,107 = 268,107 : x
  2. Step 2: Convert to fraction form
    182,674/268,107 = 268,107/x
  3. Step 3: Cross multiply
    182,674x = 268,107 × 268,107
  4. Step 4: Simplify right side
    182,674x = 71,881,363,449
  5. Step 5: Solve for x
    x = 71,881,363,449/182,674
  6. Step 6: Final answer
    x = 393,495.32

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.