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Finding the Third Proportional to 108,416 and 198,832

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Solution

The third proportional to 108,416 and 198,832 is: 364,652.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,416 : 198,832 = 198,832 : x
  2. Step 2: Convert to fraction form
    108,416/198,832 = 198,832/x
  3. Step 3: Cross multiply
    108,416x = 198,832 × 198,832
  4. Step 4: Simplify right side
    108,416x = 39,534,164,224
  5. Step 5: Solve for x
    x = 39,534,164,224/108,416
  6. Step 6: Final answer
    x = 364,652.49

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.