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Finding the Third Proportional to 113,717 and 245,530

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Solution

The third proportional to 113,717 and 245,530 is: 530,131.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,717 : 245,530 = 245,530 : x
  2. Step 2: Convert to fraction form
    113,717/245,530 = 245,530/x
  3. Step 3: Cross multiply
    113,717x = 245,530 × 245,530
  4. Step 4: Simplify right side
    113,717x = 60,284,980,900
  5. Step 5: Solve for x
    x = 60,284,980,900/113,717
  6. Step 6: Final answer
    x = 530,131.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.