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Finding the Third Proportional to 101,267.50 and 221,606

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Solution

The third proportional to 101,267.50 and 221,606 is: 484,945.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,267.50 : 221,606 = 221,606 : x
  2. Step 2: Convert to fraction form
    101,267.50/221,606 = 221,606/x
  3. Step 3: Cross multiply
    101,267.50x = 221,606 × 221,606
  4. Step 4: Simplify right side
    101,267.50x = 49,109,219,236
  5. Step 5: Solve for x
    x = 49,109,219,236/101,267.50
  6. Step 6: Final answer
    x = 484,945.51

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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.