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Finding the Third Proportional to 109,763.44 and 239,417.44

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Solution

The third proportional to 109,763.44 and 239,417.44 is: 522,220.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,763.44 : 239,417.44 = 239,417.44 : x
  2. Step 2: Convert to fraction form
    109,763.44/239,417.44 = 239,417.44/x
  3. Step 3: Cross multiply
    109,763.44x = 239,417.44 × 239,417.44
  4. Step 4: Simplify right side
    109,763.44x = 57,320,709,379.07
  5. Step 5: Solve for x
    x = 57,320,709,379.07/109,763.44
  6. Step 6: Final answer
    x = 522,220.43

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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.