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Finding the Third Proportional to 82,822 and 180,044

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Solution

The third proportional to 82,822 and 180,044 is: 391,391.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,822 : 180,044 = 180,044 : x
  2. Step 2: Convert to fraction form
    82,822/180,044 = 180,044/x
  3. Step 3: Cross multiply
    82,822x = 180,044 × 180,044
  4. Step 4: Simplify right side
    82,822x = 32,415,841,936
  5. Step 5: Solve for x
    x = 32,415,841,936/82,822
  6. Step 6: Final answer
    x = 391,391.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.