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Finding the Third Proportional to 179,373 and 393,733

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Solution

The third proportional to 179,373 and 393,733 is: 864,264.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,373 : 393,733 = 393,733 : x
  2. Step 2: Convert to fraction form
    179,373/393,733 = 393,733/x
  3. Step 3: Cross multiply
    179,373x = 393,733 × 393,733
  4. Step 4: Simplify right side
    179,373x = 155,025,675,289
  5. Step 5: Solve for x
    x = 155,025,675,289/179,373
  6. Step 6: Final answer
    x = 864,264.27

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Why These Related Problems?

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