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Finding the Third Proportional to 225,366 and 459,078

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Solution

The third proportional to 225,366 and 459,078 is: 935,157.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,366 : 459,078 = 459,078 : x
  2. Step 2: Convert to fraction form
    225,366/459,078 = 459,078/x
  3. Step 3: Cross multiply
    225,366x = 459,078 × 459,078
  4. Step 4: Simplify right side
    225,366x = 210,752,610,084
  5. Step 5: Solve for x
    x = 210,752,610,084/225,366
  6. Step 6: Final answer
    x = 935,157.08

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.