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Finding the Third Proportional to 131,084 and 280,848

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Solution

The third proportional to 131,084 and 280,848 is: 601,717.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,084 : 280,848 = 280,848 : x
  2. Step 2: Convert to fraction form
    131,084/280,848 = 280,848/x
  3. Step 3: Cross multiply
    131,084x = 280,848 × 280,848
  4. Step 4: Simplify right side
    131,084x = 78,875,599,104
  5. Step 5: Solve for x
    x = 78,875,599,104/131,084
  6. Step 6: Final answer
    x = 601,717.98

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.