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Finding the Third Proportional to 85,263 and 179,364

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Solution

The third proportional to 85,263 and 179,364 is: 377,320.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,263 : 179,364 = 179,364 : x
  2. Step 2: Convert to fraction form
    85,263/179,364 = 179,364/x
  3. Step 3: Cross multiply
    85,263x = 179,364 × 179,364
  4. Step 4: Simplify right side
    85,263x = 32,171,444,496
  5. Step 5: Solve for x
    x = 32,171,444,496/85,263
  6. Step 6: Final answer
    x = 377,320.11

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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.