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Finding the Third Proportional to 155,932 and 203,910

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Solution

The third proportional to 155,932 and 203,910 is: 266,650.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,932 : 203,910 = 203,910 : x
  2. Step 2: Convert to fraction form
    155,932/203,910 = 203,910/x
  3. Step 3: Cross multiply
    155,932x = 203,910 × 203,910
  4. Step 4: Simplify right side
    155,932x = 41,579,288,100
  5. Step 5: Solve for x
    x = 41,579,288,100/155,932
  6. Step 6: Final answer
    x = 266,650.13

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.