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Finding the Third Proportional to 179,414 and 377,414

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Solution

The third proportional to 179,414 and 377,414 is: 793,925.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,414 : 377,414 = 377,414 : x
  2. Step 2: Convert to fraction form
    179,414/377,414 = 377,414/x
  3. Step 3: Cross multiply
    179,414x = 377,414 × 377,414
  4. Step 4: Simplify right side
    179,414x = 142,441,327,396
  5. Step 5: Solve for x
    x = 142,441,327,396/179,414
  6. Step 6: Final answer
    x = 793,925.38

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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.