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Finding the Third Proportional to 169,598 and 369,976

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Solution

The third proportional to 169,598 and 369,976 is: 807,098.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,598 : 369,976 = 369,976 : x
  2. Step 2: Convert to fraction form
    169,598/369,976 = 369,976/x
  3. Step 3: Cross multiply
    169,598x = 369,976 × 369,976
  4. Step 4: Simplify right side
    169,598x = 136,882,240,576
  5. Step 5: Solve for x
    x = 136,882,240,576/169,598
  6. Step 6: Final answer
    x = 807,098.20

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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.