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Finding the Third Proportional to 168,822 and 257,520

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Solution

The third proportional to 168,822 and 257,520 is: 392,819.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,822 : 257,520 = 257,520 : x
  2. Step 2: Convert to fraction form
    168,822/257,520 = 257,520/x
  3. Step 3: Cross multiply
    168,822x = 257,520 × 257,520
  4. Step 4: Simplify right side
    168,822x = 66,316,550,400
  5. Step 5: Solve for x
    x = 66,316,550,400/168,822
  6. Step 6: Final answer
    x = 392,819.36

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.