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Finding the Third Proportional to 84,445 and 179,257

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Solution

The third proportional to 84,445 and 179,257 is: 380,520.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,445 : 179,257 = 179,257 : x
  2. Step 2: Convert to fraction form
    84,445/179,257 = 179,257/x
  3. Step 3: Cross multiply
    84,445x = 179,257 × 179,257
  4. Step 4: Simplify right side
    84,445x = 32,133,072,049
  5. Step 5: Solve for x
    x = 32,133,072,049/84,445
  6. Step 6: Final answer
    x = 380,520.72

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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.