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Finding the Third Proportional to 86,050 and 186,399

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Solution

The third proportional to 86,050 and 186,399 is: 403,772.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,050 : 186,399 = 186,399 : x
  2. Step 2: Convert to fraction form
    86,050/186,399 = 186,399/x
  3. Step 3: Cross multiply
    86,050x = 186,399 × 186,399
  4. Step 4: Simplify right side
    86,050x = 34,744,587,201
  5. Step 5: Solve for x
    x = 34,744,587,201/86,050
  6. Step 6: Final answer
    x = 403,772.08

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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.