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Finding the Third Proportional to 173,929 and 369,182

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Solution

The third proportional to 173,929 and 369,182 is: 783,626.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,929 : 369,182 = 369,182 : x
  2. Step 2: Convert to fraction form
    173,929/369,182 = 369,182/x
  3. Step 3: Cross multiply
    173,929x = 369,182 × 369,182
  4. Step 4: Simplify right side
    173,929x = 136,295,349,124
  5. Step 5: Solve for x
    x = 136,295,349,124/173,929
  6. Step 6: Final answer
    x = 783,626.36

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.