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Finding the Third Proportional to 143,799 and 302,049

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Solution

The third proportional to 143,799 and 302,049 is: 634,452.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,799 : 302,049 = 302,049 : x
  2. Step 2: Convert to fraction form
    143,799/302,049 = 302,049/x
  3. Step 3: Cross multiply
    143,799x = 302,049 × 302,049
  4. Step 4: Simplify right side
    143,799x = 91,233,598,401
  5. Step 5: Solve for x
    x = 91,233,598,401/143,799
  6. Step 6: Final answer
    x = 634,452.25

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.