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Finding the Third Proportional to 179,368 and 377,325

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Solution

The third proportional to 179,368 and 377,325 is: 793,754.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,368 : 377,325 = 377,325 : x
  2. Step 2: Convert to fraction form
    179,368/377,325 = 377,325/x
  3. Step 3: Cross multiply
    179,368x = 377,325 × 377,325
  4. Step 4: Simplify right side
    179,368x = 142,374,155,625
  5. Step 5: Solve for x
    x = 142,374,155,625/179,368
  6. Step 6: Final answer
    x = 793,754.49

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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.