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Finding the Third Proportional to 109,992 and 237,360

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Solution

The third proportional to 109,992 and 237,360 is: 512,216.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,992 : 237,360 = 237,360 : x
  2. Step 2: Convert to fraction form
    109,992/237,360 = 237,360/x
  3. Step 3: Cross multiply
    109,992x = 237,360 × 237,360
  4. Step 4: Simplify right side
    109,992x = 56,339,769,600
  5. Step 5: Solve for x
    x = 56,339,769,600/109,992
  6. Step 6: Final answer
    x = 512,216.98

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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.