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Finding the Third Proportional to 82,377 and 177,579

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Solution

The third proportional to 82,377 and 177,579 is: 382,804.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,377 : 177,579 = 177,579 : x
  2. Step 2: Convert to fraction form
    82,377/177,579 = 177,579/x
  3. Step 3: Cross multiply
    82,377x = 177,579 × 177,579
  4. Step 4: Simplify right side
    82,377x = 31,534,301,241
  5. Step 5: Solve for x
    x = 31,534,301,241/82,377
  6. Step 6: Final answer
    x = 382,804.68

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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.