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Finding the Third Proportional to 165,168 and 229,820

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Solution

The third proportional to 165,168 and 229,820 is: 319,778.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,168 : 229,820 = 229,820 : x
  2. Step 2: Convert to fraction form
    165,168/229,820 = 229,820/x
  3. Step 3: Cross multiply
    165,168x = 229,820 × 229,820
  4. Step 4: Simplify right side
    165,168x = 52,817,232,400
  5. Step 5: Solve for x
    x = 52,817,232,400/165,168
  6. Step 6: Final answer
    x = 319,778.85

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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.