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Finding the Third Proportional to 167,476 and 361,189

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Solution

The third proportional to 167,476 and 361,189 is: 778,962.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,476 : 361,189 = 361,189 : x
  2. Step 2: Convert to fraction form
    167,476/361,189 = 361,189/x
  3. Step 3: Cross multiply
    167,476x = 361,189 × 361,189
  4. Step 4: Simplify right side
    167,476x = 130,457,493,721
  5. Step 5: Solve for x
    x = 130,457,493,721/167,476
  6. Step 6: Final answer
    x = 778,962.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.