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Finding the Third Proportional to 153,904 and 231,302

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Solution

The third proportional to 153,904 and 231,302 is: 347,623.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,904 : 231,302 = 231,302 : x
  2. Step 2: Convert to fraction form
    153,904/231,302 = 231,302/x
  3. Step 3: Cross multiply
    153,904x = 231,302 × 231,302
  4. Step 4: Simplify right side
    153,904x = 53,500,615,204
  5. Step 5: Solve for x
    x = 53,500,615,204/153,904
  6. Step 6: Final answer
    x = 347,623.29

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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.