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Finding the Third Proportional to 84,636 and 200,519

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Solution

The third proportional to 84,636 and 200,519 is: 475,068.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,636 : 200,519 = 200,519 : x
  2. Step 2: Convert to fraction form
    84,636/200,519 = 200,519/x
  3. Step 3: Cross multiply
    84,636x = 200,519 × 200,519
  4. Step 4: Simplify right side
    84,636x = 40,207,869,361
  5. Step 5: Solve for x
    x = 40,207,869,361/84,636
  6. Step 6: Final answer
    x = 475,068.17

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.