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Finding the Third Proportional to 119,328 and 182,448

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Solution

The third proportional to 119,328 and 182,448 is: 278,956.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,328 : 182,448 = 182,448 : x
  2. Step 2: Convert to fraction form
    119,328/182,448 = 182,448/x
  3. Step 3: Cross multiply
    119,328x = 182,448 × 182,448
  4. Step 4: Simplify right side
    119,328x = 33,287,272,704
  5. Step 5: Solve for x
    x = 33,287,272,704/119,328
  6. Step 6: Final answer
    x = 278,956.09

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.