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Finding the Third Proportional to 167,716.50 and 364,957.13

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Solution

The third proportional to 167,716.50 and 364,957.13 is: 794,159.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,716.50 : 364,957.13 = 364,957.13 : x
  2. Step 2: Convert to fraction form
    167,716.50/364,957.13 = 364,957.13/x
  3. Step 3: Cross multiply
    167,716.50x = 364,957.13 × 364,957.13
  4. Step 4: Simplify right side
    167,716.50x = 133,193,703,088.27
  5. Step 5: Solve for x
    x = 133,193,703,088.27/167,716.50
  6. Step 6: Final answer
    x = 794,159.81

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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.