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Finding the Third Proportional to 107,930 and 224,455

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Solution

The third proportional to 107,930 and 224,455 is: 466,784.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,930 : 224,455 = 224,455 : x
  2. Step 2: Convert to fraction form
    107,930/224,455 = 224,455/x
  3. Step 3: Cross multiply
    107,930x = 224,455 × 224,455
  4. Step 4: Simplify right side
    107,930x = 50,380,047,025
  5. Step 5: Solve for x
    x = 50,380,047,025/107,930
  6. Step 6: Final answer
    x = 466,784.46

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.