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Finding the Third Proportional to 167,560 and 364,664

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Solution

The third proportional to 167,560 and 364,664 is: 793,625.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,560 : 364,664 = 364,664 : x
  2. Step 2: Convert to fraction form
    167,560/364,664 = 364,664/x
  3. Step 3: Cross multiply
    167,560x = 364,664 × 364,664
  4. Step 4: Simplify right side
    167,560x = 132,979,832,896
  5. Step 5: Solve for x
    x = 132,979,832,896/167,560
  6. Step 6: Final answer
    x = 793,625.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.