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Finding the Third Proportional to 144,589 and 216,033

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Solution

The third proportional to 144,589 and 216,033 is: 322,778.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,589 : 216,033 = 216,033 : x
  2. Step 2: Convert to fraction form
    144,589/216,033 = 216,033/x
  3. Step 3: Cross multiply
    144,589x = 216,033 × 216,033
  4. Step 4: Simplify right side
    144,589x = 46,670,257,089
  5. Step 5: Solve for x
    x = 46,670,257,089/144,589
  6. Step 6: Final answer
    x = 322,778.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.