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Finding the Third Proportional to 108,742 and 238,868

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Solution

The third proportional to 108,742 and 238,868 is: 524,709.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,742 : 238,868 = 238,868 : x
  2. Step 2: Convert to fraction form
    108,742/238,868 = 238,868/x
  3. Step 3: Cross multiply
    108,742x = 238,868 × 238,868
  4. Step 4: Simplify right side
    108,742x = 57,057,921,424
  5. Step 5: Solve for x
    x = 57,057,921,424/108,742
  6. Step 6: Final answer
    x = 524,709.14

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.