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Finding the Third Proportional to 117,452 and 258,232

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Solution

The third proportional to 117,452 and 258,232 is: 567,753.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,452 : 258,232 = 258,232 : x
  2. Step 2: Convert to fraction form
    117,452/258,232 = 258,232/x
  3. Step 3: Cross multiply
    117,452x = 258,232 × 258,232
  4. Step 4: Simplify right side
    117,452x = 66,683,765,824
  5. Step 5: Solve for x
    x = 66,683,765,824/117,452
  6. Step 6: Final answer
    x = 567,753.34

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.