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Finding the Third Proportional to 108,480 and 241,860

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Solution

The third proportional to 108,480 and 241,860 is: 539,235.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,480 : 241,860 = 241,860 : x
  2. Step 2: Convert to fraction form
    108,480/241,860 = 241,860/x
  3. Step 3: Cross multiply
    108,480x = 241,860 × 241,860
  4. Step 4: Simplify right side
    108,480x = 58,496,259,600
  5. Step 5: Solve for x
    x = 58,496,259,600/108,480
  6. Step 6: Final answer
    x = 539,235.43

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.