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Finding the Third Proportional to 169,329 and 370,137

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Solution

The third proportional to 169,329 and 370,137 is: 809,084.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,329 : 370,137 = 370,137 : x
  2. Step 2: Convert to fraction form
    169,329/370,137 = 370,137/x
  3. Step 3: Cross multiply
    169,329x = 370,137 × 370,137
  4. Step 4: Simplify right side
    169,329x = 137,001,398,769
  5. Step 5: Solve for x
    x = 137,001,398,769/169,329
  6. Step 6: Final answer
    x = 809,084.08

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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.