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Finding the Third Proportional to 176,834 and 384,448

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Solution

The third proportional to 176,834 and 384,448 is: 835,813.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,834 : 384,448 = 384,448 : x
  2. Step 2: Convert to fraction form
    176,834/384,448 = 384,448/x
  3. Step 3: Cross multiply
    176,834x = 384,448 × 384,448
  4. Step 4: Simplify right side
    176,834x = 147,800,264,704
  5. Step 5: Solve for x
    x = 147,800,264,704/176,834
  6. Step 6: Final answer
    x = 835,813.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.