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Finding the Third Proportional to 111,640 and 244,272

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Solution

The third proportional to 111,640 and 244,272 is: 534,475.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,640 : 244,272 = 244,272 : x
  2. Step 2: Convert to fraction form
    111,640/244,272 = 244,272/x
  3. Step 3: Cross multiply
    111,640x = 244,272 × 244,272
  4. Step 4: Simplify right side
    111,640x = 59,668,809,984
  5. Step 5: Solve for x
    x = 59,668,809,984/111,640
  6. Step 6: Final answer
    x = 534,475.19

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Why These Related Problems?

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