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Finding the Third Proportional to 101,952 and 224,640

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Solution

The third proportional to 101,952 and 224,640 is: 494,969.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,952 : 224,640 = 224,640 : x
  2. Step 2: Convert to fraction form
    101,952/224,640 = 224,640/x
  3. Step 3: Cross multiply
    101,952x = 224,640 × 224,640
  4. Step 4: Simplify right side
    101,952x = 50,463,129,600
  5. Step 5: Solve for x
    x = 50,463,129,600/101,952
  6. Step 6: Final answer
    x = 494,969.49

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.