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Finding the Third Proportional to 84,454 and 179,274

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Solution

The third proportional to 84,454 and 179,274 is: 380,552.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,454 : 179,274 = 179,274 : x
  2. Step 2: Convert to fraction form
    84,454/179,274 = 179,274/x
  3. Step 3: Cross multiply
    84,454x = 179,274 × 179,274
  4. Step 4: Simplify right side
    84,454x = 32,139,167,076
  5. Step 5: Solve for x
    x = 32,139,167,076/84,454
  6. Step 6: Final answer
    x = 380,552.34

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.