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Finding the Third Proportional to 109,390 and 226,371

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Solution

The third proportional to 109,390 and 226,371 is: 468,450.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,390 : 226,371 = 226,371 : x
  2. Step 2: Convert to fraction form
    109,390/226,371 = 226,371/x
  3. Step 3: Cross multiply
    109,390x = 226,371 × 226,371
  4. Step 4: Simplify right side
    109,390x = 51,243,829,641
  5. Step 5: Solve for x
    x = 51,243,829,641/109,390
  6. Step 6: Final answer
    x = 468,450.77

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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.