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Finding the Third Proportional to 169,371 and 373,296

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Solution

The third proportional to 169,371 and 373,296 is: 822,749.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,371 : 373,296 = 373,296 : x
  2. Step 2: Convert to fraction form
    169,371/373,296 = 373,296/x
  3. Step 3: Cross multiply
    169,371x = 373,296 × 373,296
  4. Step 4: Simplify right side
    169,371x = 139,349,903,616
  5. Step 5: Solve for x
    x = 139,349,903,616/169,371
  6. Step 6: Final answer
    x = 822,749.49

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.