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Finding the Third Proportional to 116,862 and 252,408

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Solution

The third proportional to 116,862 and 252,408 is: 545,171.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,862 : 252,408 = 252,408 : x
  2. Step 2: Convert to fraction form
    116,862/252,408 = 252,408/x
  3. Step 3: Cross multiply
    116,862x = 252,408 × 252,408
  4. Step 4: Simplify right side
    116,862x = 63,709,798,464
  5. Step 5: Solve for x
    x = 63,709,798,464/116,862
  6. Step 6: Final answer
    x = 545,171.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.