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Finding the Third Proportional to 149,254 and 231,110

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Solution

The third proportional to 149,254 and 231,110 is: 357,858.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,254 : 231,110 = 231,110 : x
  2. Step 2: Convert to fraction form
    149,254/231,110 = 231,110/x
  3. Step 3: Cross multiply
    149,254x = 231,110 × 231,110
  4. Step 4: Simplify right side
    149,254x = 53,411,832,100
  5. Step 5: Solve for x
    x = 53,411,832,100/149,254
  6. Step 6: Final answer
    x = 357,858.63

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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.