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Finding the Third Proportional to 179,377 and 393,741

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Solution

The third proportional to 179,377 and 393,741 is: 864,280.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,377 : 393,741 = 393,741 : x
  2. Step 2: Convert to fraction form
    179,377/393,741 = 393,741/x
  3. Step 3: Cross multiply
    179,377x = 393,741 × 393,741
  4. Step 4: Simplify right side
    179,377x = 155,031,975,081
  5. Step 5: Solve for x
    x = 155,031,975,081/179,377
  6. Step 6: Final answer
    x = 864,280.12

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.