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Finding the Third Proportional to 169,329 and 370,142

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Solution

The third proportional to 169,329 and 370,142 is: 809,105.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,329 : 370,142 = 370,142 : x
  2. Step 2: Convert to fraction form
    169,329/370,142 = 370,142/x
  3. Step 3: Cross multiply
    169,329x = 370,142 × 370,142
  4. Step 4: Simplify right side
    169,329x = 137,005,100,164
  5. Step 5: Solve for x
    x = 137,005,100,164/169,329
  6. Step 6: Final answer
    x = 809,105.94

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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.