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Finding the Third Proportional to 200,910 and 303,959

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Solution

The third proportional to 200,910 and 303,959 is: 459,862.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,910 : 303,959 = 303,959 : x
  2. Step 2: Convert to fraction form
    200,910/303,959 = 303,959/x
  3. Step 3: Cross multiply
    200,910x = 303,959 × 303,959
  4. Step 4: Simplify right side
    200,910x = 92,391,073,681
  5. Step 5: Solve for x
    x = 92,391,073,681/200,910
  6. Step 6: Final answer
    x = 459,862.99

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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.