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Finding the Third Proportional to 207,715.50 and 303,327

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Solution

The third proportional to 207,715.50 and 303,327 is: 442,948.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,715.50 : 303,327 = 303,327 : x
  2. Step 2: Convert to fraction form
    207,715.50/303,327 = 303,327/x
  3. Step 3: Cross multiply
    207,715.50x = 303,327 × 303,327
  4. Step 4: Simplify right side
    207,715.50x = 92,007,268,929
  5. Step 5: Solve for x
    x = 92,007,268,929/207,715.50
  6. Step 6: Final answer
    x = 442,948.50

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.