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Finding the Third Proportional to 101,980 and 224,132

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Solution

The third proportional to 101,980 and 224,132 is: 492,598.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,980 : 224,132 = 224,132 : x
  2. Step 2: Convert to fraction form
    101,980/224,132 = 224,132/x
  3. Step 3: Cross multiply
    101,980x = 224,132 × 224,132
  4. Step 4: Simplify right side
    101,980x = 50,235,153,424
  5. Step 5: Solve for x
    x = 50,235,153,424/101,980
  6. Step 6: Final answer
    x = 492,598.09

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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.