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Finding the Third Proportional to 108,320 and 236,512

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Solution

The third proportional to 108,320 and 236,512 is: 516,413.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,320 : 236,512 = 236,512 : x
  2. Step 2: Convert to fraction form
    108,320/236,512 = 236,512/x
  3. Step 3: Cross multiply
    108,320x = 236,512 × 236,512
  4. Step 4: Simplify right side
    108,320x = 55,937,926,144
  5. Step 5: Solve for x
    x = 55,937,926,144/108,320
  6. Step 6: Final answer
    x = 516,413.65

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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.