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Finding the Third Proportional to 131,570 and 276,894

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Solution

The third proportional to 131,570 and 276,894 is: 582,733.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,570 : 276,894 = 276,894 : x
  2. Step 2: Convert to fraction form
    131,570/276,894 = 276,894/x
  3. Step 3: Cross multiply
    131,570x = 276,894 × 276,894
  4. Step 4: Simplify right side
    131,570x = 76,670,287,236
  5. Step 5: Solve for x
    x = 76,670,287,236/131,570
  6. Step 6: Final answer
    x = 582,733.81

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.