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Finding the Third Proportional to 143,967.38 and 336,327.19

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Solution

The third proportional to 143,967.38 and 336,327.19 is: 785,705.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,967.38 : 336,327.19 = 336,327.19 : x
  2. Step 2: Convert to fraction form
    143,967.38/336,327.19 = 336,327.19/x
  3. Step 3: Cross multiply
    143,967.38x = 336,327.19 × 336,327.19
  4. Step 4: Simplify right side
    143,967.38x = 113,115,977,051.66
  5. Step 5: Solve for x
    x = 113,115,977,051.66/143,967.38
  6. Step 6: Final answer
    x = 785,705.63

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.