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Finding the Third Proportional to 165,379 and 232,897

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Solution

The third proportional to 165,379 and 232,897 is: 327,980.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,379 : 232,897 = 232,897 : x
  2. Step 2: Convert to fraction form
    165,379/232,897 = 232,897/x
  3. Step 3: Cross multiply
    165,379x = 232,897 × 232,897
  4. Step 4: Simplify right side
    165,379x = 54,241,012,609
  5. Step 5: Solve for x
    x = 54,241,012,609/165,379
  6. Step 6: Final answer
    x = 327,980.05

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.