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Finding the Third Proportional to 131,178 and 281,468

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Solution

The third proportional to 131,178 and 281,468 is: 603,944.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,178 : 281,468 = 281,468 : x
  2. Step 2: Convert to fraction form
    131,178/281,468 = 281,468/x
  3. Step 3: Cross multiply
    131,178x = 281,468 × 281,468
  4. Step 4: Simplify right side
    131,178x = 79,224,235,024
  5. Step 5: Solve for x
    x = 79,224,235,024/131,178
  6. Step 6: Final answer
    x = 603,944.53

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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.