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Finding the Third Proportional to 141,625 and 308,226

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Solution

The third proportional to 141,625 and 308,226 is: 670,808.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,625 : 308,226 = 308,226 : x
  2. Step 2: Convert to fraction form
    141,625/308,226 = 308,226/x
  3. Step 3: Cross multiply
    141,625x = 308,226 × 308,226
  4. Step 4: Simplify right side
    141,625x = 95,003,267,076
  5. Step 5: Solve for x
    x = 95,003,267,076/141,625
  6. Step 6: Final answer
    x = 670,808.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.