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Finding the Third Proportional to 121,338 and 186,238

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Solution

The third proportional to 121,338 and 186,238 is: 285,851.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,338 : 186,238 = 186,238 : x
  2. Step 2: Convert to fraction form
    121,338/186,238 = 186,238/x
  3. Step 3: Cross multiply
    121,338x = 186,238 × 186,238
  4. Step 4: Simplify right side
    121,338x = 34,684,592,644
  5. Step 5: Solve for x
    x = 34,684,592,644/121,338
  6. Step 6: Final answer
    x = 285,851.03

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.