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Finding the Third Proportional to 196,158.38 and 415,856.53

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Solution

The third proportional to 196,158.38 and 415,856.53 is: 881,617.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,158.38 : 415,856.53 = 415,856.53 : x
  2. Step 2: Convert to fraction form
    196,158.38/415,856.53 = 415,856.53/x
  3. Step 3: Cross multiply
    196,158.38x = 415,856.53 × 415,856.53
  4. Step 4: Simplify right side
    196,158.38x = 172,936,654,583.28
  5. Step 5: Solve for x
    x = 172,936,654,583.28/196,158.38
  6. Step 6: Final answer
    x = 881,617.49

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.