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Finding the Third Proportional to 143,446.50 and 315,202

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Solution

The third proportional to 143,446.50 and 315,202 is: 692,608.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,446.50 : 315,202 = 315,202 : x
  2. Step 2: Convert to fraction form
    143,446.50/315,202 = 315,202/x
  3. Step 3: Cross multiply
    143,446.50x = 315,202 × 315,202
  4. Step 4: Simplify right side
    143,446.50x = 99,352,300,804
  5. Step 5: Solve for x
    x = 99,352,300,804/143,446.50
  6. Step 6: Final answer
    x = 692,608.75

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.