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Finding the Third Proportional to 149,308 and 226,331

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Solution

The third proportional to 149,308 and 226,331 is: 343,087.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,308 : 226,331 = 226,331 : x
  2. Step 2: Convert to fraction form
    149,308/226,331 = 226,331/x
  3. Step 3: Cross multiply
    149,308x = 226,331 × 226,331
  4. Step 4: Simplify right side
    149,308x = 51,225,721,561
  5. Step 5: Solve for x
    x = 51,225,721,561/149,308
  6. Step 6: Final answer
    x = 343,087.59

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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.