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Finding the Third Proportional to 131,380 and 289,003

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Solution

The third proportional to 131,380 and 289,003 is: 635,734.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,380 : 289,003 = 289,003 : x
  2. Step 2: Convert to fraction form
    131,380/289,003 = 289,003/x
  3. Step 3: Cross multiply
    131,380x = 289,003 × 289,003
  4. Step 4: Simplify right side
    131,380x = 83,522,734,009
  5. Step 5: Solve for x
    x = 83,522,734,009/131,380
  6. Step 6: Final answer
    x = 635,734.01

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