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Finding the Third Proportional to 109,949 and 239,646

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Solution

The third proportional to 109,949 and 239,646 is: 522,334.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,949 : 239,646 = 239,646 : x
  2. Step 2: Convert to fraction form
    109,949/239,646 = 239,646/x
  3. Step 3: Cross multiply
    109,949x = 239,646 × 239,646
  4. Step 4: Simplify right side
    109,949x = 57,430,205,316
  5. Step 5: Solve for x
    x = 57,430,205,316/109,949
  6. Step 6: Final answer
    x = 522,334.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.