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Finding the Third Proportional to 210,162 and 451,428

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Solution

The third proportional to 210,162 and 451,428 is: 969,667.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,162 : 451,428 = 451,428 : x
  2. Step 2: Convert to fraction form
    210,162/451,428 = 451,428/x
  3. Step 3: Cross multiply
    210,162x = 451,428 × 451,428
  4. Step 4: Simplify right side
    210,162x = 203,787,239,184
  5. Step 5: Solve for x
    x = 203,787,239,184/210,162
  6. Step 6: Final answer
    x = 969,667.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.