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Finding the Third Proportional to 148,852.69 and 194,677.17

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Solution

The third proportional to 148,852.69 and 194,677.17 is: 254,608.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,852.69 : 194,677.17 = 194,677.17 : x
  2. Step 2: Convert to fraction form
    148,852.69/194,677.17 = 194,677.17/x
  3. Step 3: Cross multiply
    148,852.69x = 194,677.17 × 194,677.17
  4. Step 4: Simplify right side
    148,852.69x = 37,899,201,249.25
  5. Step 5: Solve for x
    x = 37,899,201,249.25/148,852.69
  6. Step 6: Final answer
    x = 254,608.78

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.