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Finding the Third Proportional to 179,400 and 377,388

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Solution

The third proportional to 179,400 and 377,388 is: 793,877.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,400 : 377,388 = 377,388 : x
  2. Step 2: Convert to fraction form
    179,400/377,388 = 377,388/x
  3. Step 3: Cross multiply
    179,400x = 377,388 × 377,388
  4. Step 4: Simplify right side
    179,400x = 142,421,702,544
  5. Step 5: Solve for x
    x = 142,421,702,544/179,400
  6. Step 6: Final answer
    x = 793,877.94

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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.