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Finding the Third Proportional to 169,102.69 and 369,370.13

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Solution

The third proportional to 169,102.69 and 369,370.13 is: 806,813.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,102.69 : 369,370.13 = 369,370.13 : x
  2. Step 2: Convert to fraction form
    169,102.69/369,370.13 = 369,370.13/x
  3. Step 3: Cross multiply
    169,102.69x = 369,370.13 × 369,370.13
  4. Step 4: Simplify right side
    169,102.69x = 136,434,289,242.52
  5. Step 5: Solve for x
    x = 136,434,289,242.52/169,102.69
  6. Step 6: Final answer
    x = 806,813.25

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.