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Finding the Third Proportional to 179,106 and 375,474

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Solution

The third proportional to 179,106 and 375,474 is: 787,135.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,106 : 375,474 = 375,474 : x
  2. Step 2: Convert to fraction form
    179,106/375,474 = 375,474/x
  3. Step 3: Cross multiply
    179,106x = 375,474 × 375,474
  4. Step 4: Simplify right side
    179,106x = 140,980,724,676
  5. Step 5: Solve for x
    x = 140,980,724,676/179,106
  6. Step 6: Final answer
    x = 787,135.69

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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.