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Finding the Third Proportional to 189,066 and 283,598

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Solution

The third proportional to 189,066 and 283,598 is: 425,395.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,066 : 283,598 = 283,598 : x
  2. Step 2: Convert to fraction form
    189,066/283,598 = 283,598/x
  3. Step 3: Cross multiply
    189,066x = 283,598 × 283,598
  4. Step 4: Simplify right side
    189,066x = 80,427,825,604
  5. Step 5: Solve for x
    x = 80,427,825,604/189,066
  6. Step 6: Final answer
    x = 425,395.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.