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Finding the Third Proportional to 165,720 and 262,829

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Solution

The third proportional to 165,720 and 262,829 is: 416,842.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,720 : 262,829 = 262,829 : x
  2. Step 2: Convert to fraction form
    165,720/262,829 = 262,829/x
  3. Step 3: Cross multiply
    165,720x = 262,829 × 262,829
  4. Step 4: Simplify right side
    165,720x = 69,079,083,241
  5. Step 5: Solve for x
    x = 69,079,083,241/165,720
  6. Step 6: Final answer
    x = 416,842.16

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.