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Finding the Third Proportional to 169,333 and 370,150

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Solution

The third proportional to 169,333 and 370,150 is: 809,121.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,333 : 370,150 = 370,150 : x
  2. Step 2: Convert to fraction form
    169,333/370,150 = 370,150/x
  3. Step 3: Cross multiply
    169,333x = 370,150 × 370,150
  4. Step 4: Simplify right side
    169,333x = 137,011,022,500
  5. Step 5: Solve for x
    x = 137,011,022,500/169,333
  6. Step 6: Final answer
    x = 809,121.80

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Why These Related Problems?

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