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Finding the Third Proportional to 153,910 and 231,310

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Solution

The third proportional to 153,910 and 231,310 is: 347,633.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,910 : 231,310 = 231,310 : x
  2. Step 2: Convert to fraction form
    153,910/231,310 = 231,310/x
  3. Step 3: Cross multiply
    153,910x = 231,310 × 231,310
  4. Step 4: Simplify right side
    153,910x = 53,504,316,100
  5. Step 5: Solve for x
    x = 53,504,316,100/153,910
  6. Step 6: Final answer
    x = 347,633.79

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