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Finding the Third Proportional to 169,596 and 369,972

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Solution

The third proportional to 169,596 and 369,972 is: 807,090.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,596 : 369,972 = 369,972 : x
  2. Step 2: Convert to fraction form
    169,596/369,972 = 369,972/x
  3. Step 3: Cross multiply
    169,596x = 369,972 × 369,972
  4. Step 4: Simplify right side
    169,596x = 136,879,280,784
  5. Step 5: Solve for x
    x = 136,879,280,784/169,596
  6. Step 6: Final answer
    x = 807,090.27

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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.