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Finding the Third Proportional to 168,320 and 186,545

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Solution

The third proportional to 168,320 and 186,545 is: 206,743.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,320 : 186,545 = 186,545 : x
  2. Step 2: Convert to fraction form
    168,320/186,545 = 186,545/x
  3. Step 3: Cross multiply
    168,320x = 186,545 × 186,545
  4. Step 4: Simplify right side
    168,320x = 34,799,037,025
  5. Step 5: Solve for x
    x = 34,799,037,025/168,320
  6. Step 6: Final answer
    x = 206,743.33

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.