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Finding the Third Proportional to 179,378 and 377,345

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Solution

The third proportional to 179,378 and 377,345 is: 793,794.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,378 : 377,345 = 377,345 : x
  2. Step 2: Convert to fraction form
    179,378/377,345 = 377,345/x
  3. Step 3: Cross multiply
    179,378x = 377,345 × 377,345
  4. Step 4: Simplify right side
    179,378x = 142,389,249,025
  5. Step 5: Solve for x
    x = 142,389,249,025/179,378
  6. Step 6: Final answer
    x = 793,794.38

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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.