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Finding the Third Proportional to 83,579 and 182,391

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Solution

The third proportional to 83,579 and 182,391 is: 398,024.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,579 : 182,391 = 182,391 : x
  2. Step 2: Convert to fraction form
    83,579/182,391 = 182,391/x
  3. Step 3: Cross multiply
    83,579x = 182,391 × 182,391
  4. Step 4: Simplify right side
    83,579x = 33,266,476,881
  5. Step 5: Solve for x
    x = 33,266,476,881/83,579
  6. Step 6: Final answer
    x = 398,024.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.