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Finding the Third Proportional to 165,132 and 229,770

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Solution

The third proportional to 165,132 and 229,770 is: 319,709.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,132 : 229,770 = 229,770 : x
  2. Step 2: Convert to fraction form
    165,132/229,770 = 229,770/x
  3. Step 3: Cross multiply
    165,132x = 229,770 × 229,770
  4. Step 4: Simplify right side
    165,132x = 52,794,252,900
  5. Step 5: Solve for x
    x = 52,794,252,900/165,132
  6. Step 6: Final answer
    x = 319,709.40

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.