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Finding the Third Proportional to 109,809 and 237,006

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Solution

The third proportional to 109,809 and 237,006 is: 511,541.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,809 : 237,006 = 237,006 : x
  2. Step 2: Convert to fraction form
    109,809/237,006 = 237,006/x
  3. Step 3: Cross multiply
    109,809x = 237,006 × 237,006
  4. Step 4: Simplify right side
    109,809x = 56,171,844,036
  5. Step 5: Solve for x
    x = 56,171,844,036/109,809
  6. Step 6: Final answer
    x = 511,541.35

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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.