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Finding the Third Proportional to 113,294 and 246,809

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Solution

The third proportional to 113,294 and 246,809 is: 537,669.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,294 : 246,809 = 246,809 : x
  2. Step 2: Convert to fraction form
    113,294/246,809 = 246,809/x
  3. Step 3: Cross multiply
    113,294x = 246,809 × 246,809
  4. Step 4: Simplify right side
    113,294x = 60,914,682,481
  5. Step 5: Solve for x
    x = 60,914,682,481/113,294
  6. Step 6: Final answer
    x = 537,669.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.