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Finding the Third Proportional to 180,992 and 238,008

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Solution

The third proportional to 180,992 and 238,008 is: 312,985.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,992 : 238,008 = 238,008 : x
  2. Step 2: Convert to fraction form
    180,992/238,008 = 238,008/x
  3. Step 3: Cross multiply
    180,992x = 238,008 × 238,008
  4. Step 4: Simplify right side
    180,992x = 56,647,808,064
  5. Step 5: Solve for x
    x = 56,647,808,064/180,992
  6. Step 6: Final answer
    x = 312,985.15

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.