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Finding the Third Proportional to 149,192 and 232,860

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Solution

The third proportional to 149,192 and 232,860 is: 363,449.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,192 : 232,860 = 232,860 : x
  2. Step 2: Convert to fraction form
    149,192/232,860 = 232,860/x
  3. Step 3: Cross multiply
    149,192x = 232,860 × 232,860
  4. Step 4: Simplify right side
    149,192x = 54,223,779,600
  5. Step 5: Solve for x
    x = 54,223,779,600/149,192
  6. Step 6: Final answer
    x = 363,449.65

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.