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Finding the Third Proportional to 109,806 and 237,000

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Solution

The third proportional to 109,806 and 237,000 is: 511,529.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,806 : 237,000 = 237,000 : x
  2. Step 2: Convert to fraction form
    109,806/237,000 = 237,000/x
  3. Step 3: Cross multiply
    109,806x = 237,000 × 237,000
  4. Step 4: Simplify right side
    109,806x = 56,169,000,000
  5. Step 5: Solve for x
    x = 56,169,000,000/109,806
  6. Step 6: Final answer
    x = 511,529.42

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.