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Finding the Third Proportional to 149,847 and 232,006.50

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Solution

The third proportional to 149,847 and 232,006.50 is: 359,213.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,847 : 232,006.50 = 232,006.50 : x
  2. Step 2: Convert to fraction form
    149,847/232,006.50 = 232,006.50/x
  3. Step 3: Cross multiply
    149,847x = 232,006.50 × 232,006.50
  4. Step 4: Simplify right side
    149,847x = 53,827,016,042.25
  5. Step 5: Solve for x
    x = 53,827,016,042.25/149,847
  6. Step 6: Final answer
    x = 359,213.17

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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.