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Finding the Third Proportional to 83,330 and 179,756

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Solution

The third proportional to 83,330 and 179,756 is: 387,762.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,330 : 179,756 = 179,756 : x
  2. Step 2: Convert to fraction form
    83,330/179,756 = 179,756/x
  3. Step 3: Cross multiply
    83,330x = 179,756 × 179,756
  4. Step 4: Simplify right side
    83,330x = 32,312,219,536
  5. Step 5: Solve for x
    x = 32,312,219,536/83,330
  6. Step 6: Final answer
    x = 387,762.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.