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Finding the Third Proportional to 148,086.75 and 288,792.75

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Solution

The third proportional to 148,086.75 and 288,792.75 is: 563,191.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,086.75 : 288,792.75 = 288,792.75 : x
  2. Step 2: Convert to fraction form
    148,086.75/288,792.75 = 288,792.75/x
  3. Step 3: Cross multiply
    148,086.75x = 288,792.75 × 288,792.75
  4. Step 4: Simplify right side
    148,086.75x = 83,401,252,452.56
  5. Step 5: Solve for x
    x = 83,401,252,452.56/148,086.75
  6. Step 6: Final answer
    x = 563,191.86

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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.