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Finding the Third Proportional to 113,967 and 245,439

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Solution

The third proportional to 113,967 and 245,439 is: 528,576.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,967 : 245,439 = 245,439 : x
  2. Step 2: Convert to fraction form
    113,967/245,439 = 245,439/x
  3. Step 3: Cross multiply
    113,967x = 245,439 × 245,439
  4. Step 4: Simplify right side
    113,967x = 60,240,302,721
  5. Step 5: Solve for x
    x = 60,240,302,721/113,967
  6. Step 6: Final answer
    x = 528,576.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.