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Finding the Third Proportional to 208,252.50 and 311,487.75

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Solution

The third proportional to 208,252.50 and 311,487.75 is: 465,898.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,252.50 : 311,487.75 = 311,487.75 : x
  2. Step 2: Convert to fraction form
    208,252.50/311,487.75 = 311,487.75/x
  3. Step 3: Cross multiply
    208,252.50x = 311,487.75 × 311,487.75
  4. Step 4: Simplify right side
    208,252.50x = 97,024,618,400.06
  5. Step 5: Solve for x
    x = 97,024,618,400.06/208,252.50
  6. Step 6: Final answer
    x = 465,898.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.