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Finding the Third Proportional to 144,442 and 322,077

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Solution

The third proportional to 144,442 and 322,077 is: 718,167.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,442 : 322,077 = 322,077 : x
  2. Step 2: Convert to fraction form
    144,442/322,077 = 322,077/x
  3. Step 3: Cross multiply
    144,442x = 322,077 × 322,077
  4. Step 4: Simplify right side
    144,442x = 103,733,593,929
  5. Step 5: Solve for x
    x = 103,733,593,929/144,442
  6. Step 6: Final answer
    x = 718,167.80

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.