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Finding the Third Proportional to 194,184.84 and 415,355.34

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Solution

The third proportional to 194,184.84 and 415,355.34 is: 888,432.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,184.84 : 415,355.34 = 415,355.34 : x
  2. Step 2: Convert to fraction form
    194,184.84/415,355.34 = 415,355.34/x
  3. Step 3: Cross multiply
    194,184.84x = 415,355.34 × 415,355.34
  4. Step 4: Simplify right side
    194,184.84x = 172,520,061,581.68
  5. Step 5: Solve for x
    x = 172,520,061,581.68/194,184.84
  6. Step 6: Final answer
    x = 888,432.17

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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.