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Finding the Third Proportional to 106,028 and 224,680

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Solution

The third proportional to 106,028 and 224,680 is: 476,111.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,028 : 224,680 = 224,680 : x
  2. Step 2: Convert to fraction form
    106,028/224,680 = 224,680/x
  3. Step 3: Cross multiply
    106,028x = 224,680 × 224,680
  4. Step 4: Simplify right side
    106,028x = 50,481,102,400
  5. Step 5: Solve for x
    x = 50,481,102,400/106,028
  6. Step 6: Final answer
    x = 476,111.05

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.