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Finding the Third Proportional to 171,409 and 369,158

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Solution

The third proportional to 171,409 and 369,158 is: 795,043.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,409 : 369,158 = 369,158 : x
  2. Step 2: Convert to fraction form
    171,409/369,158 = 369,158/x
  3. Step 3: Cross multiply
    171,409x = 369,158 × 369,158
  4. Step 4: Simplify right side
    171,409x = 136,277,628,964
  5. Step 5: Solve for x
    x = 136,277,628,964/171,409
  6. Step 6: Final answer
    x = 795,043.60

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.