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Finding the Third Proportional to 164,833 and 352,993

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Solution

The third proportional to 164,833 and 352,993 is: 755,941.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,833 : 352,993 = 352,993 : x
  2. Step 2: Convert to fraction form
    164,833/352,993 = 352,993/x
  3. Step 3: Cross multiply
    164,833x = 352,993 × 352,993
  4. Step 4: Simplify right side
    164,833x = 124,604,058,049
  5. Step 5: Solve for x
    x = 124,604,058,049/164,833
  6. Step 6: Final answer
    x = 755,941.21

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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.