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Finding the Third Proportional to 106,598 and 246,805

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Solution

The third proportional to 106,598 and 246,805 is: 571,424.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,598 : 246,805 = 246,805 : x
  2. Step 2: Convert to fraction form
    106,598/246,805 = 246,805/x
  3. Step 3: Cross multiply
    106,598x = 246,805 × 246,805
  4. Step 4: Simplify right side
    106,598x = 60,912,708,025
  5. Step 5: Solve for x
    x = 60,912,708,025/106,598
  6. Step 6: Final answer
    x = 571,424.49

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.