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Finding the Third Proportional to 150,654.94 and 214,179.19

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Solution

The third proportional to 150,654.94 and 214,179.19 is: 304,488.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,654.94 : 214,179.19 = 214,179.19 : x
  2. Step 2: Convert to fraction form
    150,654.94/214,179.19 = 214,179.19/x
  3. Step 3: Cross multiply
    150,654.94x = 214,179.19 × 214,179.19
  4. Step 4: Simplify right side
    150,654.94x = 45,872,724,358.16
  5. Step 5: Solve for x
    x = 45,872,724,358.16/150,654.94
  6. Step 6: Final answer
    x = 304,488.69

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.