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Finding the Third Proportional to 167,850 and 372,996

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Solution

The third proportional to 167,850 and 372,996 is: 828,871.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,850 : 372,996 = 372,996 : x
  2. Step 2: Convert to fraction form
    167,850/372,996 = 372,996/x
  3. Step 3: Cross multiply
    167,850x = 372,996 × 372,996
  4. Step 4: Simplify right side
    167,850x = 139,126,016,016
  5. Step 5: Solve for x
    x = 139,126,016,016/167,850
  6. Step 6: Final answer
    x = 828,871.11

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.