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Finding the Third Proportional to 200,313 and 426,687.75

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Solution

The third proportional to 200,313 and 426,687.75 is: 908,889.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,313 : 426,687.75 = 426,687.75 : x
  2. Step 2: Convert to fraction form
    200,313/426,687.75 = 426,687.75/x
  3. Step 3: Cross multiply
    200,313x = 426,687.75 × 426,687.75
  4. Step 4: Simplify right side
    200,313x = 182,062,436,000.06
  5. Step 5: Solve for x
    x = 182,062,436,000.06/200,313
  6. Step 6: Final answer
    x = 908,889.77

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.