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Finding the Third Proportional to 251,653 and 367,099

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Solution

The third proportional to 251,653 and 367,099 is: 535,505.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,653 : 367,099 = 367,099 : x
  2. Step 2: Convert to fraction form
    251,653/367,099 = 367,099/x
  3. Step 3: Cross multiply
    251,653x = 367,099 × 367,099
  4. Step 4: Simplify right side
    251,653x = 134,761,675,801
  5. Step 5: Solve for x
    x = 134,761,675,801/251,653
  6. Step 6: Final answer
    x = 535,505.94

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.