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Finding the Third Proportional to 159,989.94 and 343,722.84

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Solution

The third proportional to 159,989.94 and 343,722.84 is: 738,455.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,989.94 : 343,722.84 = 343,722.84 : x
  2. Step 2: Convert to fraction form
    159,989.94/343,722.84 = 343,722.84/x
  3. Step 3: Cross multiply
    159,989.94x = 343,722.84 × 343,722.84
  4. Step 4: Simplify right side
    159,989.94x = 118,145,393,315.59
  5. Step 5: Solve for x
    x = 118,145,393,315.59/159,989.94
  6. Step 6: Final answer
    x = 738,455.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.