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Finding the Third Proportional to 140,848 and 306,968

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Solution

The third proportional to 140,848 and 306,968 is: 669,014.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,848 : 306,968 = 306,968 : x
  2. Step 2: Convert to fraction form
    140,848/306,968 = 306,968/x
  3. Step 3: Cross multiply
    140,848x = 306,968 × 306,968
  4. Step 4: Simplify right side
    140,848x = 94,229,353,024
  5. Step 5: Solve for x
    x = 94,229,353,024/140,848
  6. Step 6: Final answer
    x = 669,014.49

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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.