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Finding the Third Proportional to 200,894 and 303,935

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Solution

The third proportional to 200,894 and 303,935 is: 459,826.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,894 : 303,935 = 303,935 : x
  2. Step 2: Convert to fraction form
    200,894/303,935 = 303,935/x
  3. Step 3: Cross multiply
    200,894x = 303,935 × 303,935
  4. Step 4: Simplify right side
    200,894x = 92,376,484,225
  5. Step 5: Solve for x
    x = 92,376,484,225/200,894
  6. Step 6: Final answer
    x = 459,826.99

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Why These Related Problems?

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