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Finding the Third Proportional to 200,857.50 and 303,345

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Solution

The third proportional to 200,857.50 and 303,345 is: 458,126.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,857.50 : 303,345 = 303,345 : x
  2. Step 2: Convert to fraction form
    200,857.50/303,345 = 303,345/x
  3. Step 3: Cross multiply
    200,857.50x = 303,345 × 303,345
  4. Step 4: Simplify right side
    200,857.50x = 92,018,189,025
  5. Step 5: Solve for x
    x = 92,018,189,025/200,857.50
  6. Step 6: Final answer
    x = 458,126.73

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.