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Finding the Third Proportional to 175,200 and 376,644

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Solution

The third proportional to 175,200 and 376,644 is: 809,707.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,200 : 376,644 = 376,644 : x
  2. Step 2: Convert to fraction form
    175,200/376,644 = 376,644/x
  3. Step 3: Cross multiply
    175,200x = 376,644 × 376,644
  4. Step 4: Simplify right side
    175,200x = 141,860,702,736
  5. Step 5: Solve for x
    x = 141,860,702,736/175,200
  6. Step 6: Final answer
    x = 809,707.21

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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.