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Finding the Third Proportional to 143,246 and 311,980

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Solution

The third proportional to 143,246 and 311,980 is: 679,471.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,246 : 311,980 = 311,980 : x
  2. Step 2: Convert to fraction form
    143,246/311,980 = 311,980/x
  3. Step 3: Cross multiply
    143,246x = 311,980 × 311,980
  4. Step 4: Simplify right side
    143,246x = 97,331,520,400
  5. Step 5: Solve for x
    x = 97,331,520,400/143,246
  6. Step 6: Final answer
    x = 679,471.12

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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.