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Finding the Third Proportional to 109,601 and 235,579

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Solution

The third proportional to 109,601 and 235,579 is: 506,359.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,601 : 235,579 = 235,579 : x
  2. Step 2: Convert to fraction form
    109,601/235,579 = 235,579/x
  3. Step 3: Cross multiply
    109,601x = 235,579 × 235,579
  4. Step 4: Simplify right side
    109,601x = 55,497,465,241
  5. Step 5: Solve for x
    x = 55,497,465,241/109,601
  6. Step 6: Final answer
    x = 506,359.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.