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Finding the Third Proportional to 144,829.69 and 221,552.72

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Solution

The third proportional to 144,829.69 and 221,552.72 is: 338,919.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,829.69 : 221,552.72 = 221,552.72 : x
  2. Step 2: Convert to fraction form
    144,829.69/221,552.72 = 221,552.72/x
  3. Step 3: Cross multiply
    144,829.69x = 221,552.72 × 221,552.72
  4. Step 4: Simplify right side
    144,829.69x = 49,085,607,185.52
  5. Step 5: Solve for x
    x = 49,085,607,185.52/144,829.69
  6. Step 6: Final answer
    x = 338,919.51

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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.