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Finding the Third Proportional to 131,491 and 279,364

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Solution

The third proportional to 131,491 and 279,364 is: 593,532.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,491 : 279,364 = 279,364 : x
  2. Step 2: Convert to fraction form
    131,491/279,364 = 279,364/x
  3. Step 3: Cross multiply
    131,491x = 279,364 × 279,364
  4. Step 4: Simplify right side
    131,491x = 78,044,244,496
  5. Step 5: Solve for x
    x = 78,044,244,496/131,491
  6. Step 6: Final answer
    x = 593,532.98

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.