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Finding the Third Proportional to 117,093 and 246,423

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Solution

The third proportional to 117,093 and 246,423 is: 518,598.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,093 : 246,423 = 246,423 : x
  2. Step 2: Convert to fraction form
    117,093/246,423 = 246,423/x
  3. Step 3: Cross multiply
    117,093x = 246,423 × 246,423
  4. Step 4: Simplify right side
    117,093x = 60,724,294,929
  5. Step 5: Solve for x
    x = 60,724,294,929/117,093
  6. Step 6: Final answer
    x = 518,598.85

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.