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Finding the Third Proportional to 131,572 and 284,190

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Solution

The third proportional to 131,572 and 284,190 is: 613,838.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,572 : 284,190 = 284,190 : x
  2. Step 2: Convert to fraction form
    131,572/284,190 = 284,190/x
  3. Step 3: Cross multiply
    131,572x = 284,190 × 284,190
  4. Step 4: Simplify right side
    131,572x = 80,763,956,100
  5. Step 5: Solve for x
    x = 80,763,956,100/131,572
  6. Step 6: Final answer
    x = 613,838.48

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.