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Finding the Third Proportional to 149,325 and 231,210

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Solution

The third proportional to 149,325 and 231,210 is: 357,998.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,325 : 231,210 = 231,210 : x
  2. Step 2: Convert to fraction form
    149,325/231,210 = 231,210/x
  3. Step 3: Cross multiply
    149,325x = 231,210 × 231,210
  4. Step 4: Simplify right side
    149,325x = 53,458,064,100
  5. Step 5: Solve for x
    x = 53,458,064,100/149,325
  6. Step 6: Final answer
    x = 357,998.09

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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.