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Finding the Third Proportional to 144,668 and 211,350

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Solution

The third proportional to 144,668 and 211,350 is: 308,767.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,668 : 211,350 = 211,350 : x
  2. Step 2: Convert to fraction form
    144,668/211,350 = 211,350/x
  3. Step 3: Cross multiply
    144,668x = 211,350 × 211,350
  4. Step 4: Simplify right side
    144,668x = 44,668,822,500
  5. Step 5: Solve for x
    x = 44,668,822,500/144,668
  6. Step 6: Final answer
    x = 308,767.82

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.