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Finding the Third Proportional to 200,034 and 309,636

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Solution

The third proportional to 200,034 and 309,636 is: 479,290.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,034 : 309,636 = 309,636 : x
  2. Step 2: Convert to fraction form
    200,034/309,636 = 309,636/x
  3. Step 3: Cross multiply
    200,034x = 309,636 × 309,636
  4. Step 4: Simplify right side
    200,034x = 95,874,452,496
  5. Step 5: Solve for x
    x = 95,874,452,496/200,034
  6. Step 6: Final answer
    x = 479,290.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.