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Finding the Third Proportional to 189,856 and 417,608

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Solution

The third proportional to 189,856 and 417,608 is: 918,572.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,856 : 417,608 = 417,608 : x
  2. Step 2: Convert to fraction form
    189,856/417,608 = 417,608/x
  3. Step 3: Cross multiply
    189,856x = 417,608 × 417,608
  4. Step 4: Simplify right side
    189,856x = 174,396,441,664
  5. Step 5: Solve for x
    x = 174,396,441,664/189,856
  6. Step 6: Final answer
    x = 918,572.19

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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.