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Finding the Third Proportional to 108,110 and 236,584

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Solution

The third proportional to 108,110 and 236,584 is: 517,731.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,110 : 236,584 = 236,584 : x
  2. Step 2: Convert to fraction form
    108,110/236,584 = 236,584/x
  3. Step 3: Cross multiply
    108,110x = 236,584 × 236,584
  4. Step 4: Simplify right side
    108,110x = 55,971,989,056
  5. Step 5: Solve for x
    x = 55,971,989,056/108,110
  6. Step 6: Final answer
    x = 517,731.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.