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Finding the Third Proportional to 179,036 and 386,992

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Solution

The third proportional to 179,036 and 386,992 is: 836,495.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,036 : 386,992 = 386,992 : x
  2. Step 2: Convert to fraction form
    179,036/386,992 = 386,992/x
  3. Step 3: Cross multiply
    179,036x = 386,992 × 386,992
  4. Step 4: Simplify right side
    179,036x = 149,762,808,064
  5. Step 5: Solve for x
    x = 149,762,808,064/179,036
  6. Step 6: Final answer
    x = 836,495.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.