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Finding the Third Proportional to 170,004 and 369,816

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Solution

The third proportional to 170,004 and 369,816 is: 804,474.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,004 : 369,816 = 369,816 : x
  2. Step 2: Convert to fraction form
    170,004/369,816 = 369,816/x
  3. Step 3: Cross multiply
    170,004x = 369,816 × 369,816
  4. Step 4: Simplify right side
    170,004x = 136,763,873,856
  5. Step 5: Solve for x
    x = 136,763,873,856/170,004
  6. Step 6: Final answer
    x = 804,474.45

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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.