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Finding the Third Proportional to 189,184 and 282,134

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Solution

The third proportional to 189,184 and 282,134 is: 420,752.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,184 : 282,134 = 282,134 : x
  2. Step 2: Convert to fraction form
    189,184/282,134 = 282,134/x
  3. Step 3: Cross multiply
    189,184x = 282,134 × 282,134
  4. Step 4: Simplify right side
    189,184x = 79,599,593,956
  5. Step 5: Solve for x
    x = 79,599,593,956/189,184
  6. Step 6: Final answer
    x = 420,752.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.