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Finding the Third Proportional to 143,082 and 310,767

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Solution

The third proportional to 143,082 and 310,767 is: 674,970.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,082 : 310,767 = 310,767 : x
  2. Step 2: Convert to fraction form
    143,082/310,767 = 310,767/x
  3. Step 3: Cross multiply
    143,082x = 310,767 × 310,767
  4. Step 4: Simplify right side
    143,082x = 96,576,128,289
  5. Step 5: Solve for x
    x = 96,576,128,289/143,082
  6. Step 6: Final answer
    x = 674,970.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.