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Finding the Third Proportional to 109,864 and 237,220

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Solution

The third proportional to 109,864 and 237,220 is: 512,208.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,864 : 237,220 = 237,220 : x
  2. Step 2: Convert to fraction form
    109,864/237,220 = 237,220/x
  3. Step 3: Cross multiply
    109,864x = 237,220 × 237,220
  4. Step 4: Simplify right side
    109,864x = 56,273,328,400
  5. Step 5: Solve for x
    x = 56,273,328,400/109,864
  6. Step 6: Final answer
    x = 512,208.99

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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.