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Finding the Third Proportional to 101,274 and 221,612

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Solution

The third proportional to 101,274 and 221,612 is: 484,940.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,274 : 221,612 = 221,612 : x
  2. Step 2: Convert to fraction form
    101,274/221,612 = 221,612/x
  3. Step 3: Cross multiply
    101,274x = 221,612 × 221,612
  4. Step 4: Simplify right side
    101,274x = 49,111,878,544
  5. Step 5: Solve for x
    x = 49,111,878,544/101,274
  6. Step 6: Final answer
    x = 484,940.64

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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.