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Finding the Third Proportional to 143,188 and 309,974

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Solution

The third proportional to 143,188 and 309,974 is: 671,033.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,188 : 309,974 = 309,974 : x
  2. Step 2: Convert to fraction form
    143,188/309,974 = 309,974/x
  3. Step 3: Cross multiply
    143,188x = 309,974 × 309,974
  4. Step 4: Simplify right side
    143,188x = 96,083,880,676
  5. Step 5: Solve for x
    x = 96,083,880,676/143,188
  6. Step 6: Final answer
    x = 671,033.05

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.