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Finding the Third Proportional to 171,723 and 373,953

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Solution

The third proportional to 171,723 and 373,953 is: 814,339.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,723 : 373,953 = 373,953 : x
  2. Step 2: Convert to fraction form
    171,723/373,953 = 373,953/x
  3. Step 3: Cross multiply
    171,723x = 373,953 × 373,953
  4. Step 4: Simplify right side
    171,723x = 139,840,846,209
  5. Step 5: Solve for x
    x = 139,840,846,209/171,723
  6. Step 6: Final answer
    x = 814,339.64

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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.