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Finding the Third Proportional to 165,742 and 262,862

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Solution

The third proportional to 165,742 and 262,862 is: 416,891.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,742 : 262,862 = 262,862 : x
  2. Step 2: Convert to fraction form
    165,742/262,862 = 262,862/x
  3. Step 3: Cross multiply
    165,742x = 262,862 × 262,862
  4. Step 4: Simplify right side
    165,742x = 69,096,431,044
  5. Step 5: Solve for x
    x = 69,096,431,044/165,742
  6. Step 6: Final answer
    x = 416,891.50

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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.