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Finding the Third Proportional to 164,832 and 352,992

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Solution

The third proportional to 164,832 and 352,992 is: 755,941.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,832 : 352,992 = 352,992 : x
  2. Step 2: Convert to fraction form
    164,832/352,992 = 352,992/x
  3. Step 3: Cross multiply
    164,832x = 352,992 × 352,992
  4. Step 4: Simplify right side
    164,832x = 124,603,352,064
  5. Step 5: Solve for x
    x = 124,603,352,064/164,832
  6. Step 6: Final answer
    x = 755,941.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.