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Finding the Third Proportional to 84,748 and 182,822

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Solution

The third proportional to 84,748 and 182,822 is: 394,391.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,748 : 182,822 = 182,822 : x
  2. Step 2: Convert to fraction form
    84,748/182,822 = 182,822/x
  3. Step 3: Cross multiply
    84,748x = 182,822 × 182,822
  4. Step 4: Simplify right side
    84,748x = 33,423,883,684
  5. Step 5: Solve for x
    x = 33,423,883,684/84,748
  6. Step 6: Final answer
    x = 394,391.42

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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.