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Finding the Third Proportional to 143,203 and 282,790.50

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Solution

The third proportional to 143,203 and 282,790.50 is: 558,441.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,203 : 282,790.50 = 282,790.50 : x
  2. Step 2: Convert to fraction form
    143,203/282,790.50 = 282,790.50/x
  3. Step 3: Cross multiply
    143,203x = 282,790.50 × 282,790.50
  4. Step 4: Simplify right side
    143,203x = 79,970,466,890.25
  5. Step 5: Solve for x
    x = 79,970,466,890.25/143,203
  6. Step 6: Final answer
    x = 558,441.28

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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.