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Finding the Third Proportional to 189,241 and 413,313

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Solution

The third proportional to 189,241 and 413,313 is: 902,698.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,241 : 413,313 = 413,313 : x
  2. Step 2: Convert to fraction form
    189,241/413,313 = 413,313/x
  3. Step 3: Cross multiply
    189,241x = 413,313 × 413,313
  4. Step 4: Simplify right side
    189,241x = 170,827,635,969
  5. Step 5: Solve for x
    x = 170,827,635,969/189,241
  6. Step 6: Final answer
    x = 902,698.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.