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Finding the Third Proportional to 108,242 and 233,716

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Solution

The third proportional to 108,242 and 233,716 is: 504,639.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,242 : 233,716 = 233,716 : x
  2. Step 2: Convert to fraction form
    108,242/233,716 = 233,716/x
  3. Step 3: Cross multiply
    108,242x = 233,716 × 233,716
  4. Step 4: Simplify right side
    108,242x = 54,623,168,656
  5. Step 5: Solve for x
    x = 54,623,168,656/108,242
  6. Step 6: Final answer
    x = 504,639.31

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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.