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Finding the Third Proportional to 199,558.50 and 315,957

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Solution

The third proportional to 199,558.50 and 315,957 is: 500,248.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,558.50 : 315,957 = 315,957 : x
  2. Step 2: Convert to fraction form
    199,558.50/315,957 = 315,957/x
  3. Step 3: Cross multiply
    199,558.50x = 315,957 × 315,957
  4. Step 4: Simplify right side
    199,558.50x = 99,828,825,849
  5. Step 5: Solve for x
    x = 99,828,825,849/199,558.50
  6. Step 6: Final answer
    x = 500,248.43

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.