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Finding the Third Proportional to 189,850 and 417,596

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Solution

The third proportional to 189,850 and 417,596 is: 918,548.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,850 : 417,596 = 417,596 : x
  2. Step 2: Convert to fraction form
    189,850/417,596 = 417,596/x
  3. Step 3: Cross multiply
    189,850x = 417,596 × 417,596
  4. Step 4: Simplify right side
    189,850x = 174,386,419,216
  5. Step 5: Solve for x
    x = 174,386,419,216/189,850
  6. Step 6: Final answer
    x = 918,548.43

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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.