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Finding the Third Proportional to 176,439 and 384,864

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Solution

The third proportional to 176,439 and 384,864 is: 839,498.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,439 : 384,864 = 384,864 : x
  2. Step 2: Convert to fraction form
    176,439/384,864 = 384,864/x
  3. Step 3: Cross multiply
    176,439x = 384,864 × 384,864
  4. Step 4: Simplify right side
    176,439x = 148,120,298,496
  5. Step 5: Solve for x
    x = 148,120,298,496/176,439
  6. Step 6: Final answer
    x = 839,498.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.