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Finding the Third Proportional to 84,579 and 185,901

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Solution

The third proportional to 84,579 and 185,901 is: 408,602.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,579 : 185,901 = 185,901 : x
  2. Step 2: Convert to fraction form
    84,579/185,901 = 185,901/x
  3. Step 3: Cross multiply
    84,579x = 185,901 × 185,901
  4. Step 4: Simplify right side
    84,579x = 34,559,181,801
  5. Step 5: Solve for x
    x = 34,559,181,801/84,579
  6. Step 6: Final answer
    x = 408,602.39

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.