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Finding the Third Proportional to 149,229 and 231,408

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Solution

The third proportional to 149,229 and 231,408 is: 358,842.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,229 : 231,408 = 231,408 : x
  2. Step 2: Convert to fraction form
    149,229/231,408 = 231,408/x
  3. Step 3: Cross multiply
    149,229x = 231,408 × 231,408
  4. Step 4: Simplify right side
    149,229x = 53,549,662,464
  5. Step 5: Solve for x
    x = 53,549,662,464/149,229
  6. Step 6: Final answer
    x = 358,842.20

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.