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Finding the Third Proportional to 153,256 and 230,092

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Solution

The third proportional to 153,256 and 230,092 is: 345,450.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,256 : 230,092 = 230,092 : x
  2. Step 2: Convert to fraction form
    153,256/230,092 = 230,092/x
  3. Step 3: Cross multiply
    153,256x = 230,092 × 230,092
  4. Step 4: Simplify right side
    153,256x = 52,942,328,464
  5. Step 5: Solve for x
    x = 52,942,328,464/153,256
  6. Step 6: Final answer
    x = 345,450.28

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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.