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Finding the Third Proportional to 143,824.50 and 312,900

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Solution

The third proportional to 143,824.50 and 312,900 is: 680,735.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,824.50 : 312,900 = 312,900 : x
  2. Step 2: Convert to fraction form
    143,824.50/312,900 = 312,900/x
  3. Step 3: Cross multiply
    143,824.50x = 312,900 × 312,900
  4. Step 4: Simplify right side
    143,824.50x = 97,906,410,000
  5. Step 5: Solve for x
    x = 97,906,410,000/143,824.50
  6. Step 6: Final answer
    x = 680,735.27

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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.