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Finding the Third Proportional to 189,860 and 417,613

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Solution

The third proportional to 189,860 and 417,613 is: 918,574.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,860 : 417,613 = 417,613 : x
  2. Step 2: Convert to fraction form
    189,860/417,613 = 417,613/x
  3. Step 3: Cross multiply
    189,860x = 417,613 × 417,613
  4. Step 4: Simplify right side
    189,860x = 174,400,617,769
  5. Step 5: Solve for x
    x = 174,400,617,769/189,860
  6. Step 6: Final answer
    x = 918,574.83

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.