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Finding the Third Proportional to 200,076 and 426,936

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Solution

The third proportional to 200,076 and 426,936 is: 911,025.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,076 : 426,936 = 426,936 : x
  2. Step 2: Convert to fraction form
    200,076/426,936 = 426,936/x
  3. Step 3: Cross multiply
    200,076x = 426,936 × 426,936
  4. Step 4: Simplify right side
    200,076x = 182,274,348,096
  5. Step 5: Solve for x
    x = 182,274,348,096/200,076
  6. Step 6: Final answer
    x = 911,025.55

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.