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Finding the Third Proportional to 168,252 and 341,448

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Solution

The third proportional to 168,252 and 341,448 is: 692,929.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,252 : 341,448 = 341,448 : x
  2. Step 2: Convert to fraction form
    168,252/341,448 = 341,448/x
  3. Step 3: Cross multiply
    168,252x = 341,448 × 341,448
  4. Step 4: Simplify right side
    168,252x = 116,586,736,704
  5. Step 5: Solve for x
    x = 116,586,736,704/168,252
  6. Step 6: Final answer
    x = 692,929.28

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.