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Finding the Third Proportional to 169,326 and 370,135.69

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Solution

The third proportional to 169,326 and 370,135.69 is: 809,092.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,326 : 370,135.69 = 370,135.69 : x
  2. Step 2: Convert to fraction form
    169,326/370,135.69 = 370,135.69/x
  3. Step 3: Cross multiply
    169,326x = 370,135.69 × 370,135.69
  4. Step 4: Simplify right side
    169,326x = 137,000,427,161.10
  5. Step 5: Solve for x
    x = 137,000,427,161.10/169,326
  6. Step 6: Final answer
    x = 809,092.68

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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.