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Finding the Third Proportional to 86,402 and 179,698

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Solution

The third proportional to 86,402 and 179,698 is: 373,734.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,402 : 179,698 = 179,698 : x
  2. Step 2: Convert to fraction form
    86,402/179,698 = 179,698/x
  3. Step 3: Cross multiply
    86,402x = 179,698 × 179,698
  4. Step 4: Simplify right side
    86,402x = 32,291,371,204
  5. Step 5: Solve for x
    x = 32,291,371,204/86,402
  6. Step 6: Final answer
    x = 373,734.07

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.