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Finding the Third Proportional to 223,101 and 464,661

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Solution

The third proportional to 223,101 and 464,661 is: 967,767.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,101 : 464,661 = 464,661 : x
  2. Step 2: Convert to fraction form
    223,101/464,661 = 464,661/x
  3. Step 3: Cross multiply
    223,101x = 464,661 × 464,661
  4. Step 4: Simplify right side
    223,101x = 215,909,844,921
  5. Step 5: Solve for x
    x = 215,909,844,921/223,101
  6. Step 6: Final answer
    x = 967,767.27

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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.