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Finding the Third Proportional to 140,238 and 308,522

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Solution

The third proportional to 140,238 and 308,522 is: 678,744.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,238 : 308,522 = 308,522 : x
  2. Step 2: Convert to fraction form
    140,238/308,522 = 308,522/x
  3. Step 3: Cross multiply
    140,238x = 308,522 × 308,522
  4. Step 4: Simplify right side
    140,238x = 95,185,824,484
  5. Step 5: Solve for x
    x = 95,185,824,484/140,238
  6. Step 6: Final answer
    x = 678,744.88

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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.