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Finding the Third Proportional to 113,678 and 245,452

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Solution

The third proportional to 113,678 and 245,452 is: 529,976.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,678 : 245,452 = 245,452 : x
  2. Step 2: Convert to fraction form
    113,678/245,452 = 245,452/x
  3. Step 3: Cross multiply
    113,678x = 245,452 × 245,452
  4. Step 4: Simplify right side
    113,678x = 60,246,684,304
  5. Step 5: Solve for x
    x = 60,246,684,304/113,678
  6. Step 6: Final answer
    x = 529,976.64

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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.