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Finding the Third Proportional to 113,676 and 245,448

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Solution

The third proportional to 113,676 and 245,448 is: 529,968.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,676 : 245,448 = 245,448 : x
  2. Step 2: Convert to fraction form
    113,676/245,448 = 245,448/x
  3. Step 3: Cross multiply
    113,676x = 245,448 × 245,448
  4. Step 4: Simplify right side
    113,676x = 60,244,720,704
  5. Step 5: Solve for x
    x = 60,244,720,704/113,676
  6. Step 6: Final answer
    x = 529,968.69

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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.