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Finding the Third Proportional to 149,310 and 226,334

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Solution

The third proportional to 149,310 and 226,334 is: 343,092.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,310 : 226,334 = 226,334 : x
  2. Step 2: Convert to fraction form
    149,310/226,334 = 226,334/x
  3. Step 3: Cross multiply
    149,310x = 226,334 × 226,334
  4. Step 4: Simplify right side
    149,310x = 51,227,079,556
  5. Step 5: Solve for x
    x = 51,227,079,556/149,310
  6. Step 6: Final answer
    x = 343,092.09

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.