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Finding the Third Proportional to 178,730 and 263,934

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Solution

The third proportional to 178,730 and 263,934 is: 389,756.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,730 : 263,934 = 263,934 : x
  2. Step 2: Convert to fraction form
    178,730/263,934 = 263,934/x
  3. Step 3: Cross multiply
    178,730x = 263,934 × 263,934
  4. Step 4: Simplify right side
    178,730x = 69,661,156,356
  5. Step 5: Solve for x
    x = 69,661,156,356/178,730
  6. Step 6: Final answer
    x = 389,756.37

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.