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Finding the Third Proportional to 148,860 and 290,202.75

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Solution

The third proportional to 148,860 and 290,202.75 is: 565,750.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,860 : 290,202.75 = 290,202.75 : x
  2. Step 2: Convert to fraction form
    148,860/290,202.75 = 290,202.75/x
  3. Step 3: Cross multiply
    148,860x = 290,202.75 × 290,202.75
  4. Step 4: Simplify right side
    148,860x = 84,217,636,107.56
  5. Step 5: Solve for x
    x = 84,217,636,107.56/148,860
  6. Step 6: Final answer
    x = 565,750.61

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.