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Finding the Third Proportional to 127,215 and 197,826

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Solution

The third proportional to 127,215 and 197,826 is: 307,629.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,215 : 197,826 = 197,826 : x
  2. Step 2: Convert to fraction form
    127,215/197,826 = 197,826/x
  3. Step 3: Cross multiply
    127,215x = 197,826 × 197,826
  4. Step 4: Simplify right side
    127,215x = 39,135,126,276
  5. Step 5: Solve for x
    x = 39,135,126,276/127,215
  6. Step 6: Final answer
    x = 307,629.81

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.