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Finding the Third Proportional to 179,442 and 384,633

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Solution

The third proportional to 179,442 and 384,633 is: 824,458.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,442 : 384,633 = 384,633 : x
  2. Step 2: Convert to fraction form
    179,442/384,633 = 384,633/x
  3. Step 3: Cross multiply
    179,442x = 384,633 × 384,633
  4. Step 4: Simplify right side
    179,442x = 147,942,544,689
  5. Step 5: Solve for x
    x = 147,942,544,689/179,442
  6. Step 6: Final answer
    x = 824,458.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.