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Finding the Third Proportional to 143,676 and 307,976

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Solution

The third proportional to 143,676 and 307,976 is: 660,160.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,676 : 307,976 = 307,976 : x
  2. Step 2: Convert to fraction form
    143,676/307,976 = 307,976/x
  3. Step 3: Cross multiply
    143,676x = 307,976 × 307,976
  4. Step 4: Simplify right side
    143,676x = 94,849,216,576
  5. Step 5: Solve for x
    x = 94,849,216,576/143,676
  6. Step 6: Final answer
    x = 660,160.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.