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Finding the Third Proportional to 101,265 and 221,602

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Solution

The third proportional to 101,265 and 221,602 is: 484,939.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,265 : 221,602 = 221,602 : x
  2. Step 2: Convert to fraction form
    101,265/221,602 = 221,602/x
  3. Step 3: Cross multiply
    101,265x = 221,602 × 221,602
  4. Step 4: Simplify right side
    101,265x = 49,107,446,404
  5. Step 5: Solve for x
    x = 49,107,446,404/101,265
  6. Step 6: Final answer
    x = 484,939.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.