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Finding the Third Proportional to 143,593.50 and 313,298.50

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Solution

The third proportional to 143,593.50 and 313,298.50 is: 683,568.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,593.50 : 313,298.50 = 313,298.50 : x
  2. Step 2: Convert to fraction form
    143,593.50/313,298.50 = 313,298.50/x
  3. Step 3: Cross multiply
    143,593.50x = 313,298.50 × 313,298.50
  4. Step 4: Simplify right side
    143,593.50x = 98,155,950,102.25
  5. Step 5: Solve for x
    x = 98,155,950,102.25/143,593.50
  6. Step 6: Final answer
    x = 683,568.20

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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.