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Finding the Third Proportional to 169,746 and 369,928

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Solution

The third proportional to 169,746 and 369,928 is: 806,185.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,746 : 369,928 = 369,928 : x
  2. Step 2: Convert to fraction form
    169,746/369,928 = 369,928/x
  3. Step 3: Cross multiply
    169,746x = 369,928 × 369,928
  4. Step 4: Simplify right side
    169,746x = 136,846,725,184
  5. Step 5: Solve for x
    x = 136,846,725,184/169,746
  6. Step 6: Final answer
    x = 806,185.27

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Why These Related Problems?

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