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Finding the Third Proportional to 131,913 and 204,593.50

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Solution

The third proportional to 131,913 and 204,593.50 is: 317,318.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,913 : 204,593.50 = 204,593.50 : x
  2. Step 2: Convert to fraction form
    131,913/204,593.50 = 204,593.50/x
  3. Step 3: Cross multiply
    131,913x = 204,593.50 × 204,593.50
  4. Step 4: Simplify right side
    131,913x = 41,858,500,242.25
  5. Step 5: Solve for x
    x = 41,858,500,242.25/131,913
  6. Step 6: Final answer
    x = 317,318.99

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.