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Finding the Third Proportional to 101,913 and 224,562

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Solution

The third proportional to 101,913 and 224,562 is: 494,815.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,913 : 224,562 = 224,562 : x
  2. Step 2: Convert to fraction form
    101,913/224,562 = 224,562/x
  3. Step 3: Cross multiply
    101,913x = 224,562 × 224,562
  4. Step 4: Simplify right side
    101,913x = 50,428,091,844
  5. Step 5: Solve for x
    x = 50,428,091,844/101,913
  6. Step 6: Final answer
    x = 494,815.11

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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.