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Finding the Third Proportional to 143,192 and 282,769

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Solution

The third proportional to 143,192 and 282,769 is: 558,399.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,192 : 282,769 = 282,769 : x
  2. Step 2: Convert to fraction form
    143,192/282,769 = 282,769/x
  3. Step 3: Cross multiply
    143,192x = 282,769 × 282,769
  4. Step 4: Simplify right side
    143,192x = 79,958,307,361
  5. Step 5: Solve for x
    x = 79,958,307,361/143,192
  6. Step 6: Final answer
    x = 558,399.26

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.