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Finding the Third Proportional to 167,475 and 361,188

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Solution

The third proportional to 167,475 and 361,188 is: 778,962.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,475 : 361,188 = 361,188 : x
  2. Step 2: Convert to fraction form
    167,475/361,188 = 361,188/x
  3. Step 3: Cross multiply
    167,475x = 361,188 × 361,188
  4. Step 4: Simplify right side
    167,475x = 130,456,771,344
  5. Step 5: Solve for x
    x = 130,456,771,344/167,475
  6. Step 6: Final answer
    x = 778,962.66

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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.