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Finding the Third Proportional to 200,897 and 303,938

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Solution

The third proportional to 200,897 and 303,938 is: 459,829.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,897 : 303,938 = 303,938 : x
  2. Step 2: Convert to fraction form
    200,897/303,938 = 303,938/x
  3. Step 3: Cross multiply
    200,897x = 303,938 × 303,938
  4. Step 4: Simplify right side
    200,897x = 92,378,307,844
  5. Step 5: Solve for x
    x = 92,378,307,844/200,897
  6. Step 6: Final answer
    x = 459,829.21

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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.