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Finding the Third Proportional to 136,827 and 300,627

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Solution

The third proportional to 136,827 and 300,627 is: 660,517.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,827 : 300,627 = 300,627 : x
  2. Step 2: Convert to fraction form
    136,827/300,627 = 300,627/x
  3. Step 3: Cross multiply
    136,827x = 300,627 × 300,627
  4. Step 4: Simplify right side
    136,827x = 90,376,593,129
  5. Step 5: Solve for x
    x = 90,376,593,129/136,827
  6. Step 6: Final answer
    x = 660,517.25

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.