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Finding the Third Proportional to 159,884 and 230,985

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Solution

The third proportional to 159,884 and 230,985 is: 333,704.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,884 : 230,985 = 230,985 : x
  2. Step 2: Convert to fraction form
    159,884/230,985 = 230,985/x
  3. Step 3: Cross multiply
    159,884x = 230,985 × 230,985
  4. Step 4: Simplify right side
    159,884x = 53,354,070,225
  5. Step 5: Solve for x
    x = 53,354,070,225/159,884
  6. Step 6: Final answer
    x = 333,704.87

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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.