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Finding the Third Proportional to 172,683 and 376,728.75

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Solution

The third proportional to 172,683 and 376,728.75 is: 821,879.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,683 : 376,728.75 = 376,728.75 : x
  2. Step 2: Convert to fraction form
    172,683/376,728.75 = 376,728.75/x
  3. Step 3: Cross multiply
    172,683x = 376,728.75 × 376,728.75
  4. Step 4: Simplify right side
    172,683x = 141,924,551,076.56
  5. Step 5: Solve for x
    x = 141,924,551,076.56/172,683
  6. Step 6: Final answer
    x = 821,879.11

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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.