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Finding the Third Proportional to 155,992 and 236,903

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Solution

The third proportional to 155,992 and 236,903 is: 359,781.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,992 : 236,903 = 236,903 : x
  2. Step 2: Convert to fraction form
    155,992/236,903 = 236,903/x
  3. Step 3: Cross multiply
    155,992x = 236,903 × 236,903
  4. Step 4: Simplify right side
    155,992x = 56,123,031,409
  5. Step 5: Solve for x
    x = 56,123,031,409/155,992
  6. Step 6: Final answer
    x = 359,781.47

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.