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Finding the Third Proportional to 149,166 and 231,285

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Solution

The third proportional to 149,166 and 231,285 is: 358,612.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,166 : 231,285 = 231,285 : x
  2. Step 2: Convert to fraction form
    149,166/231,285 = 231,285/x
  3. Step 3: Cross multiply
    149,166x = 231,285 × 231,285
  4. Step 4: Simplify right side
    149,166x = 53,492,751,225
  5. Step 5: Solve for x
    x = 53,492,751,225/149,166
  6. Step 6: Final answer
    x = 358,612.23

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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.