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Finding the Third Proportional to 108,264 and 233,760

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Solution

The third proportional to 108,264 and 233,760 is: 504,726.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,264 : 233,760 = 233,760 : x
  2. Step 2: Convert to fraction form
    108,264/233,760 = 233,760/x
  3. Step 3: Cross multiply
    108,264x = 233,760 × 233,760
  4. Step 4: Simplify right side
    108,264x = 54,643,737,600
  5. Step 5: Solve for x
    x = 54,643,737,600/108,264
  6. Step 6: Final answer
    x = 504,726.76

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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.