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Finding the Third Proportional to 142,452 and 300,996

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Solution

The third proportional to 142,452 and 300,996 is: 635,993.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,452 : 300,996 = 300,996 : x
  2. Step 2: Convert to fraction form
    142,452/300,996 = 300,996/x
  3. Step 3: Cross multiply
    142,452x = 300,996 × 300,996
  4. Step 4: Simplify right side
    142,452x = 90,598,592,016
  5. Step 5: Solve for x
    x = 90,598,592,016/142,452
  6. Step 6: Final answer
    x = 635,993.82

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.