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Finding the Third Proportional to 189,665.30 and 406,235.25

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Solution

The third proportional to 189,665.30 and 406,235.25 is: 870,096.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,665.30 : 406,235.25 = 406,235.25 : x
  2. Step 2: Convert to fraction form
    189,665.30/406,235.25 = 406,235.25/x
  3. Step 3: Cross multiply
    189,665.30x = 406,235.25 × 406,235.25
  4. Step 4: Simplify right side
    189,665.30x = 165,027,078,342.56
  5. Step 5: Solve for x
    x = 165,027,078,342.56/189,665.30
  6. Step 6: Final answer
    x = 870,096.33

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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.