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Finding the Third Proportional to 159,964.24 and 349,969.99

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Solution

The third proportional to 159,964.24 and 349,969.99 is: 765,664.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,964.24 : 349,969.99 = 349,969.99 : x
  2. Step 2: Convert to fraction form
    159,964.24/349,969.99 = 349,969.99/x
  3. Step 3: Cross multiply
    159,964.24x = 349,969.99 × 349,969.99
  4. Step 4: Simplify right side
    159,964.24x = 122,478,995,431.72
  5. Step 5: Solve for x
    x = 122,478,995,431.72/159,964.24
  6. Step 6: Final answer
    x = 765,664.84

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.