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Finding the Third Proportional to 109,439 and 226,461

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Solution

The third proportional to 109,439 and 226,461 is: 468,613.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,439 : 226,461 = 226,461 : x
  2. Step 2: Convert to fraction form
    109,439/226,461 = 226,461/x
  3. Step 3: Cross multiply
    109,439x = 226,461 × 226,461
  4. Step 4: Simplify right side
    109,439x = 51,284,584,521
  5. Step 5: Solve for x
    x = 51,284,584,521/109,439
  6. Step 6: Final answer
    x = 468,613.42

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.