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Finding the Third Proportional to 194,094.38 and 411,516.75

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Solution

The third proportional to 194,094.38 and 411,516.75 is: 872,493.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,094.38 : 411,516.75 = 411,516.75 : x
  2. Step 2: Convert to fraction form
    194,094.38/411,516.75 = 411,516.75/x
  3. Step 3: Cross multiply
    194,094.38x = 411,516.75 × 411,516.75
  4. Step 4: Simplify right side
    194,094.38x = 169,346,035,530.56
  5. Step 5: Solve for x
    x = 169,346,035,530.56/194,094.38
  6. Step 6: Final answer
    x = 872,493.27

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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.