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Finding the Third Proportional to 167,655 and 364,776

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Solution

The third proportional to 167,655 and 364,776 is: 793,662.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,655 : 364,776 = 364,776 : x
  2. Step 2: Convert to fraction form
    167,655/364,776 = 364,776/x
  3. Step 3: Cross multiply
    167,655x = 364,776 × 364,776
  4. Step 4: Simplify right side
    167,655x = 133,061,530,176
  5. Step 5: Solve for x
    x = 133,061,530,176/167,655
  6. Step 6: Final answer
    x = 793,662.76

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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.