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Finding the Third Proportional to 144,442.13 and 322,076.63

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Solution

The third proportional to 144,442.13 and 322,076.63 is: 718,165.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,442.13 : 322,076.63 = 322,076.63 : x
  2. Step 2: Convert to fraction form
    144,442.13/322,076.63 = 322,076.63/x
  3. Step 3: Cross multiply
    144,442.13x = 322,076.63 × 322,076.63
  4. Step 4: Simplify right side
    144,442.13x = 103,733,352,371.39
  5. Step 5: Solve for x
    x = 103,733,352,371.39/144,442.13
  6. Step 6: Final answer
    x = 718,165.51

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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.