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Finding the Third Proportional to 131,058 and 281,232

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Solution

The third proportional to 131,058 and 281,232 is: 603,484.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,058 : 281,232 = 281,232 : x
  2. Step 2: Convert to fraction form
    131,058/281,232 = 281,232/x
  3. Step 3: Cross multiply
    131,058x = 281,232 × 281,232
  4. Step 4: Simplify right side
    131,058x = 79,091,437,824
  5. Step 5: Solve for x
    x = 79,091,437,824/131,058
  6. Step 6: Final answer
    x = 603,484.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.