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Finding the Third Proportional to 143,973.70 and 310,022.44

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Solution

The third proportional to 143,973.70 and 310,022.44 is: 667,579.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,973.70 : 310,022.44 = 310,022.44 : x
  2. Step 2: Convert to fraction form
    143,973.70/310,022.44 = 310,022.44/x
  3. Step 3: Cross multiply
    143,973.70x = 310,022.44 × 310,022.44
  4. Step 4: Simplify right side
    143,973.70x = 96,113,911,753.44
  5. Step 5: Solve for x
    x = 96,113,911,753.44/143,973.70
  6. Step 6: Final answer
    x = 667,579.63

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Why These Related Problems?

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