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Finding the Third Proportional to 144,816 and 202,311

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Solution

The third proportional to 144,816 and 202,311 is: 282,632.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,816 : 202,311 = 202,311 : x
  2. Step 2: Convert to fraction form
    144,816/202,311 = 202,311/x
  3. Step 3: Cross multiply
    144,816x = 202,311 × 202,311
  4. Step 4: Simplify right side
    144,816x = 40,929,740,721
  5. Step 5: Solve for x
    x = 40,929,740,721/144,816
  6. Step 6: Final answer
    x = 282,632.73

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.