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Finding the Third Proportional to 167,192 and 365,488

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Solution

The third proportional to 167,192 and 365,488 is: 798,970.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,192 : 365,488 = 365,488 : x
  2. Step 2: Convert to fraction form
    167,192/365,488 = 365,488/x
  3. Step 3: Cross multiply
    167,192x = 365,488 × 365,488
  4. Step 4: Simplify right side
    167,192x = 133,581,478,144
  5. Step 5: Solve for x
    x = 133,581,478,144/167,192
  6. Step 6: Final answer
    x = 798,970.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.