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Finding the Third Proportional to 140,239 and 308,524

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Solution

The third proportional to 140,239 and 308,524 is: 678,748.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,239 : 308,524 = 308,524 : x
  2. Step 2: Convert to fraction form
    140,239/308,524 = 308,524/x
  3. Step 3: Cross multiply
    140,239x = 308,524 × 308,524
  4. Step 4: Simplify right side
    140,239x = 95,187,058,576
  5. Step 5: Solve for x
    x = 95,187,058,576/140,239
  6. Step 6: Final answer
    x = 678,748.84

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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.