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Finding the Third Proportional to 167,643 and 364,851

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Solution

The third proportional to 167,643 and 364,851 is: 794,045.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,643 : 364,851 = 364,851 : x
  2. Step 2: Convert to fraction form
    167,643/364,851 = 364,851/x
  3. Step 3: Cross multiply
    167,643x = 364,851 × 364,851
  4. Step 4: Simplify right side
    167,643x = 133,116,252,201
  5. Step 5: Solve for x
    x = 133,116,252,201/167,643
  6. Step 6: Final answer
    x = 794,045.99

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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.