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Finding the Third Proportional to 149,194 and 232,863

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Solution

The third proportional to 149,194 and 232,863 is: 363,454.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,194 : 232,863 = 232,863 : x
  2. Step 2: Convert to fraction form
    149,194/232,863 = 232,863/x
  3. Step 3: Cross multiply
    149,194x = 232,863 × 232,863
  4. Step 4: Simplify right side
    149,194x = 54,225,176,769
  5. Step 5: Solve for x
    x = 54,225,176,769/149,194
  6. Step 6: Final answer
    x = 363,454.14

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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.