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Finding the Third Proportional to 175,999 and 373,812

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Solution

The third proportional to 175,999 and 373,812 is: 793,955.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,999 : 373,812 = 373,812 : x
  2. Step 2: Convert to fraction form
    175,999/373,812 = 373,812/x
  3. Step 3: Cross multiply
    175,999x = 373,812 × 373,812
  4. Step 4: Simplify right side
    175,999x = 139,735,411,344
  5. Step 5: Solve for x
    x = 139,735,411,344/175,999
  6. Step 6: Final answer
    x = 793,955.71

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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.