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Finding the Third Proportional to 169,344 and 253,184

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Solution

The third proportional to 169,344 and 253,184 is: 378,532.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,344 : 253,184 = 253,184 : x
  2. Step 2: Convert to fraction form
    169,344/253,184 = 253,184/x
  3. Step 3: Cross multiply
    169,344x = 253,184 × 253,184
  4. Step 4: Simplify right side
    169,344x = 64,102,137,856
  5. Step 5: Solve for x
    x = 64,102,137,856/169,344
  6. Step 6: Final answer
    x = 378,532.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.