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Finding the Third Proportional to 169,833.50 and 347,041

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Solution

The third proportional to 169,833.50 and 347,041 is: 709,150.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,833.50 : 347,041 = 347,041 : x
  2. Step 2: Convert to fraction form
    169,833.50/347,041 = 347,041/x
  3. Step 3: Cross multiply
    169,833.50x = 347,041 × 347,041
  4. Step 4: Simplify right side
    169,833.50x = 120,437,455,681
  5. Step 5: Solve for x
    x = 120,437,455,681/169,833.50
  6. Step 6: Final answer
    x = 709,150.17

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.