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Finding the Third Proportional to 194,202.38 and 415,389

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Solution

The third proportional to 194,202.38 and 415,389 is: 888,495.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,202.38 : 415,389 = 415,389 : x
  2. Step 2: Convert to fraction form
    194,202.38/415,389 = 415,389/x
  3. Step 3: Cross multiply
    194,202.38x = 415,389 × 415,389
  4. Step 4: Simplify right side
    194,202.38x = 172,548,021,321
  5. Step 5: Solve for x
    x = 172,548,021,321/194,202.38
  6. Step 6: Final answer
    x = 888,495.94

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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.