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Finding the Third Proportional to 171,536 and 369,184

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Solution

The third proportional to 171,536 and 369,184 is: 794,566.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,536 : 369,184 = 369,184 : x
  2. Step 2: Convert to fraction form
    171,536/369,184 = 369,184/x
  3. Step 3: Cross multiply
    171,536x = 369,184 × 369,184
  4. Step 4: Simplify right side
    171,536x = 136,296,825,856
  5. Step 5: Solve for x
    x = 136,296,825,856/171,536
  6. Step 6: Final answer
    x = 794,566.89

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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.