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Finding the Third Proportional to 143,678.50 and 312,227

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Solution

The third proportional to 143,678.50 and 312,227 is: 678,498.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,678.50 : 312,227 = 312,227 : x
  2. Step 2: Convert to fraction form
    143,678.50/312,227 = 312,227/x
  3. Step 3: Cross multiply
    143,678.50x = 312,227 × 312,227
  4. Step 4: Simplify right side
    143,678.50x = 97,485,699,529
  5. Step 5: Solve for x
    x = 97,485,699,529/143,678.50
  6. Step 6: Final answer
    x = 678,498.87

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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.