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Finding the Third Proportional to 167,976 and 363,060

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Solution

The third proportional to 167,976 and 363,060 is: 784,710.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,976 : 363,060 = 363,060 : x
  2. Step 2: Convert to fraction form
    167,976/363,060 = 363,060/x
  3. Step 3: Cross multiply
    167,976x = 363,060 × 363,060
  4. Step 4: Simplify right side
    167,976x = 131,812,563,600
  5. Step 5: Solve for x
    x = 131,812,563,600/167,976
  6. Step 6: Final answer
    x = 784,710.69

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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.