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Finding the Third Proportional to 159,938 and 230,403

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Solution

The third proportional to 159,938 and 230,403 is: 331,913.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,938 : 230,403 = 230,403 : x
  2. Step 2: Convert to fraction form
    159,938/230,403 = 230,403/x
  3. Step 3: Cross multiply
    159,938x = 230,403 × 230,403
  4. Step 4: Simplify right side
    159,938x = 53,085,542,409
  5. Step 5: Solve for x
    x = 53,085,542,409/159,938
  6. Step 6: Final answer
    x = 331,913.26

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.