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Finding the Third Proportional to 140,268 and 211,862

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Solution

The third proportional to 140,268 and 211,862 is: 319,998.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,268 : 211,862 = 211,862 : x
  2. Step 2: Convert to fraction form
    140,268/211,862 = 211,862/x
  3. Step 3: Cross multiply
    140,268x = 211,862 × 211,862
  4. Step 4: Simplify right side
    140,268x = 44,885,507,044
  5. Step 5: Solve for x
    x = 44,885,507,044/140,268
  6. Step 6: Final answer
    x = 319,998.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.