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Finding the Third Proportional to 168,706.50 and 356,376

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Solution

The third proportional to 168,706.50 and 356,376 is: 752,809.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,706.50 : 356,376 = 356,376 : x
  2. Step 2: Convert to fraction form
    168,706.50/356,376 = 356,376/x
  3. Step 3: Cross multiply
    168,706.50x = 356,376 × 356,376
  4. Step 4: Simplify right side
    168,706.50x = 127,003,853,376
  5. Step 5: Solve for x
    x = 127,003,853,376/168,706.50
  6. Step 6: Final answer
    x = 752,809.48

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.