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Finding the Third Proportional to 144,966 and 221,754

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Solution

The third proportional to 144,966 and 221,754 is: 339,216.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,966 : 221,754 = 221,754 : x
  2. Step 2: Convert to fraction form
    144,966/221,754 = 221,754/x
  3. Step 3: Cross multiply
    144,966x = 221,754 × 221,754
  4. Step 4: Simplify right side
    144,966x = 49,174,836,516
  5. Step 5: Solve for x
    x = 49,174,836,516/144,966
  6. Step 6: Final answer
    x = 339,216.34

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.