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Finding the Third Proportional to 109,210 and 239,456

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Solution

The third proportional to 109,210 and 239,456 is: 525,035.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,210 : 239,456 = 239,456 : x
  2. Step 2: Convert to fraction form
    109,210/239,456 = 239,456/x
  3. Step 3: Cross multiply
    109,210x = 239,456 × 239,456
  4. Step 4: Simplify right side
    109,210x = 57,339,175,936
  5. Step 5: Solve for x
    x = 57,339,175,936/109,210
  6. Step 6: Final answer
    x = 525,035.95

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.