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Finding the Third Proportional to 108,965 and 237,856

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Solution

The third proportional to 108,965 and 237,856 is: 519,207.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,965 : 237,856 = 237,856 : x
  2. Step 2: Convert to fraction form
    108,965/237,856 = 237,856/x
  3. Step 3: Cross multiply
    108,965x = 237,856 × 237,856
  4. Step 4: Simplify right side
    108,965x = 56,575,476,736
  5. Step 5: Solve for x
    x = 56,575,476,736/108,965
  6. Step 6: Final answer
    x = 519,207.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.