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Finding the Third Proportional to 179,455 and 260,830

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Solution

The third proportional to 179,455 and 260,830 is: 379,105.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,455 : 260,830 = 260,830 : x
  2. Step 2: Convert to fraction form
    179,455/260,830 = 260,830/x
  3. Step 3: Cross multiply
    179,455x = 260,830 × 260,830
  4. Step 4: Simplify right side
    179,455x = 68,032,288,900
  5. Step 5: Solve for x
    x = 68,032,288,900/179,455
  6. Step 6: Final answer
    x = 379,105.01

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.