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Finding the Third Proportional to 127,848 and 198,504

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Solution

The third proportional to 127,848 and 198,504 is: 308,208.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,848 : 198,504 = 198,504 : x
  2. Step 2: Convert to fraction form
    127,848/198,504 = 198,504/x
  3. Step 3: Cross multiply
    127,848x = 198,504 × 198,504
  4. Step 4: Simplify right side
    127,848x = 39,403,838,016
  5. Step 5: Solve for x
    x = 39,403,838,016/127,848
  6. Step 6: Final answer
    x = 308,208.48

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.