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Finding the Third Proportional to 127,962 and 200,278

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Solution

The third proportional to 127,962 and 200,278 is: 313,462.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,962 : 200,278 = 200,278 : x
  2. Step 2: Convert to fraction form
    127,962/200,278 = 200,278/x
  3. Step 3: Cross multiply
    127,962x = 200,278 × 200,278
  4. Step 4: Simplify right side
    127,962x = 40,111,277,284
  5. Step 5: Solve for x
    x = 40,111,277,284/127,962
  6. Step 6: Final answer
    x = 313,462.41

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.