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Finding the Third Proportional to 182,488 and 271,068

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Solution

The third proportional to 182,488 and 271,068 is: 402,644.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,488 : 271,068 = 271,068 : x
  2. Step 2: Convert to fraction form
    182,488/271,068 = 271,068/x
  3. Step 3: Cross multiply
    182,488x = 271,068 × 271,068
  4. Step 4: Simplify right side
    182,488x = 73,477,860,624
  5. Step 5: Solve for x
    x = 73,477,860,624/182,488
  6. Step 6: Final answer
    x = 402,644.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.