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Finding the Third Proportional to 96,594 and 209,266

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Solution

The third proportional to 96,594 and 209,266 is: 453,364.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,594 : 209,266 = 209,266 : x
  2. Step 2: Convert to fraction form
    96,594/209,266 = 209,266/x
  3. Step 3: Cross multiply
    96,594x = 209,266 × 209,266
  4. Step 4: Simplify right side
    96,594x = 43,792,258,756
  5. Step 5: Solve for x
    x = 43,792,258,756/96,594
  6. Step 6: Final answer
    x = 453,364.17

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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.