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Finding the Third Proportional to 143,012 and 307,948

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Solution

The third proportional to 143,012 and 307,948 is: 663,104.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,012 : 307,948 = 307,948 : x
  2. Step 2: Convert to fraction form
    143,012/307,948 = 307,948/x
  3. Step 3: Cross multiply
    143,012x = 307,948 × 307,948
  4. Step 4: Simplify right side
    143,012x = 94,831,970,704
  5. Step 5: Solve for x
    x = 94,831,970,704/143,012
  6. Step 6: Final answer
    x = 663,104.99

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.