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Finding the Third Proportional to 144,960 and 221,652

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Solution

The third proportional to 144,960 and 221,652 is: 338,918.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,960 : 221,652 = 221,652 : x
  2. Step 2: Convert to fraction form
    144,960/221,652 = 221,652/x
  3. Step 3: Cross multiply
    144,960x = 221,652 × 221,652
  4. Step 4: Simplify right side
    144,960x = 49,129,609,104
  5. Step 5: Solve for x
    x = 49,129,609,104/144,960
  6. Step 6: Final answer
    x = 338,918.39

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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.