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Finding the Third Proportional to 189,596 and 402,520

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Solution

The third proportional to 189,596 and 402,520 is: 854,566.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,596 : 402,520 = 402,520 : x
  2. Step 2: Convert to fraction form
    189,596/402,520 = 402,520/x
  3. Step 3: Cross multiply
    189,596x = 402,520 × 402,520
  4. Step 4: Simplify right side
    189,596x = 162,022,350,400
  5. Step 5: Solve for x
    x = 162,022,350,400/189,596
  6. Step 6: Final answer
    x = 854,566.29

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.