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Finding the Third Proportional to 179,712 and 279,414

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Solution

The third proportional to 179,712 and 279,414 is: 434,429.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,712 : 279,414 = 279,414 : x
  2. Step 2: Convert to fraction form
    179,712/279,414 = 279,414/x
  3. Step 3: Cross multiply
    179,712x = 279,414 × 279,414
  4. Step 4: Simplify right side
    179,712x = 78,072,183,396
  5. Step 5: Solve for x
    x = 78,072,183,396/179,712
  6. Step 6: Final answer
    x = 434,429.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.