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Finding the Third Proportional to 173,066 and 371,986

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Solution

The third proportional to 173,066 and 371,986 is: 799,542.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,066 : 371,986 = 371,986 : x
  2. Step 2: Convert to fraction form
    173,066/371,986 = 371,986/x
  3. Step 3: Cross multiply
    173,066x = 371,986 × 371,986
  4. Step 4: Simplify right side
    173,066x = 138,373,584,196
  5. Step 5: Solve for x
    x = 138,373,584,196/173,066
  6. Step 6: Final answer
    x = 799,542.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.