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Finding the Third Proportional to 167,577 and 364,706

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Solution

The third proportional to 167,577 and 364,706 is: 793,727.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,577 : 364,706 = 364,706 : x
  2. Step 2: Convert to fraction form
    167,577/364,706 = 364,706/x
  3. Step 3: Cross multiply
    167,577x = 364,706 × 364,706
  4. Step 4: Simplify right side
    167,577x = 133,010,466,436
  5. Step 5: Solve for x
    x = 133,010,466,436/167,577
  6. Step 6: Final answer
    x = 793,727.46

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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.