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Finding the Third Proportional to 173,024 and 373,696

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Solution

The third proportional to 173,024 and 373,696 is: 807,105.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,024 : 373,696 = 373,696 : x
  2. Step 2: Convert to fraction form
    173,024/373,696 = 373,696/x
  3. Step 3: Cross multiply
    173,024x = 373,696 × 373,696
  4. Step 4: Simplify right side
    173,024x = 139,648,700,416
  5. Step 5: Solve for x
    x = 139,648,700,416/173,024
  6. Step 6: Final answer
    x = 807,105.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.