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Finding the Third Proportional to 198,564.75 and 315,551.25

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Solution

The third proportional to 198,564.75 and 315,551.25 is: 501,461.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,564.75 : 315,551.25 = 315,551.25 : x
  2. Step 2: Convert to fraction form
    198,564.75/315,551.25 = 315,551.25/x
  3. Step 3: Cross multiply
    198,564.75x = 315,551.25 × 315,551.25
  4. Step 4: Simplify right side
    198,564.75x = 99,572,591,376.56
  5. Step 5: Solve for x
    x = 99,572,591,376.56/198,564.75
  6. Step 6: Final answer
    x = 501,461.57

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.