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Finding the Third Proportional to 194,210 and 415,408

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Solution

The third proportional to 194,210 and 415,408 is: 888,542.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,210 : 415,408 = 415,408 : x
  2. Step 2: Convert to fraction form
    194,210/415,408 = 415,408/x
  3. Step 3: Cross multiply
    194,210x = 415,408 × 415,408
  4. Step 4: Simplify right side
    194,210x = 172,563,806,464
  5. Step 5: Solve for x
    x = 172,563,806,464/194,210
  6. Step 6: Final answer
    x = 888,542.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.