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Finding the Third Proportional to 109,888 and 237,296

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Solution

The third proportional to 109,888 and 237,296 is: 512,425.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,888 : 237,296 = 237,296 : x
  2. Step 2: Convert to fraction form
    109,888/237,296 = 237,296/x
  3. Step 3: Cross multiply
    109,888x = 237,296 × 237,296
  4. Step 4: Simplify right side
    109,888x = 56,309,391,616
  5. Step 5: Solve for x
    x = 56,309,391,616/109,888
  6. Step 6: Final answer
    x = 512,425.30

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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.