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Finding the Third Proportional to 174,981.38 and 262,410.75

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Solution

The third proportional to 174,981.38 and 262,410.75 is: 393,524.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,981.38 : 262,410.75 = 262,410.75 : x
  2. Step 2: Convert to fraction form
    174,981.38/262,410.75 = 262,410.75/x
  3. Step 3: Cross multiply
    174,981.38x = 262,410.75 × 262,410.75
  4. Step 4: Simplify right side
    174,981.38x = 68,859,401,715.56
  5. Step 5: Solve for x
    x = 68,859,401,715.56/174,981.38
  6. Step 6: Final answer
    x = 393,524.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.