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Finding the Third Proportional to 106,594 and 246,794

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Solution

The third proportional to 106,594 and 246,794 is: 571,395.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,594 : 246,794 = 246,794 : x
  2. Step 2: Convert to fraction form
    106,594/246,794 = 246,794/x
  3. Step 3: Cross multiply
    106,594x = 246,794 × 246,794
  4. Step 4: Simplify right side
    106,594x = 60,907,278,436
  5. Step 5: Solve for x
    x = 60,907,278,436/106,594
  6. Step 6: Final answer
    x = 571,395.00

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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.