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Finding the Third Proportional to 86,466 and 186,273

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Solution

The third proportional to 86,466 and 186,273 is: 401,286.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,466 : 186,273 = 186,273 : x
  2. Step 2: Convert to fraction form
    86,466/186,273 = 186,273/x
  3. Step 3: Cross multiply
    86,466x = 186,273 × 186,273
  4. Step 4: Simplify right side
    86,466x = 34,697,630,529
  5. Step 5: Solve for x
    x = 34,697,630,529/86,466
  6. Step 6: Final answer
    x = 401,286.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.