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Finding the Third Proportional to 166,788 and 355,452

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Solution

The third proportional to 166,788 and 355,452 is: 757,525.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,788 : 355,452 = 355,452 : x
  2. Step 2: Convert to fraction form
    166,788/355,452 = 355,452/x
  3. Step 3: Cross multiply
    166,788x = 355,452 × 355,452
  4. Step 4: Simplify right side
    166,788x = 126,346,124,304
  5. Step 5: Solve for x
    x = 126,346,124,304/166,788
  6. Step 6: Final answer
    x = 757,525.27

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.