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Finding the Third Proportional to 173,272 and 376,190

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Solution

The third proportional to 173,272 and 376,190 is: 816,744.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,272 : 376,190 = 376,190 : x
  2. Step 2: Convert to fraction form
    173,272/376,190 = 376,190/x
  3. Step 3: Cross multiply
    173,272x = 376,190 × 376,190
  4. Step 4: Simplify right side
    173,272x = 141,518,916,100
  5. Step 5: Solve for x
    x = 141,518,916,100/173,272
  6. Step 6: Final answer
    x = 816,744.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.