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Finding the Third Proportional to 80,633 and 175,258

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Solution

The third proportional to 80,633 and 175,258 is: 380,927.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,633 : 175,258 = 175,258 : x
  2. Step 2: Convert to fraction form
    80,633/175,258 = 175,258/x
  3. Step 3: Cross multiply
    80,633x = 175,258 × 175,258
  4. Step 4: Simplify right side
    80,633x = 30,715,366,564
  5. Step 5: Solve for x
    x = 30,715,366,564/80,633
  6. Step 6: Final answer
    x = 380,927.99

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.