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Finding the Third Proportional to 96,560 and 207,278

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Solution

The third proportional to 96,560 and 207,278 is: 444,947.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,560 : 207,278 = 207,278 : x
  2. Step 2: Convert to fraction form
    96,560/207,278 = 207,278/x
  3. Step 3: Cross multiply
    96,560x = 207,278 × 207,278
  4. Step 4: Simplify right side
    96,560x = 42,964,169,284
  5. Step 5: Solve for x
    x = 42,964,169,284/96,560
  6. Step 6: Final answer
    x = 444,947.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.