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Finding the Third Proportional to 167,897 and 365,332

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Solution

The third proportional to 167,897 and 365,332 is: 794,936.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,897 : 365,332 = 365,332 : x
  2. Step 2: Convert to fraction form
    167,897/365,332 = 365,332/x
  3. Step 3: Cross multiply
    167,897x = 365,332 × 365,332
  4. Step 4: Simplify right side
    167,897x = 133,467,470,224
  5. Step 5: Solve for x
    x = 133,467,470,224/167,897
  6. Step 6: Final answer
    x = 794,936.60

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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.