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Finding the Third Proportional to 159,067.13 and 343,041.75

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Solution

The third proportional to 159,067.13 and 343,041.75 is: 739,798.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,067.13 : 343,041.75 = 343,041.75 : x
  2. Step 2: Convert to fraction form
    159,067.13/343,041.75 = 343,041.75/x
  3. Step 3: Cross multiply
    159,067.13x = 343,041.75 × 343,041.75
  4. Step 4: Simplify right side
    159,067.13x = 117,677,642,243.06
  5. Step 5: Solve for x
    x = 117,677,642,243.06/159,067.13
  6. Step 6: Final answer
    x = 739,798.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.