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Finding the Third Proportional to 175,218.75 and 377,093.25

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Solution

The third proportional to 175,218.75 and 377,093.25 is: 811,553.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,218.75 : 377,093.25 = 377,093.25 : x
  2. Step 2: Convert to fraction form
    175,218.75/377,093.25 = 377,093.25/x
  3. Step 3: Cross multiply
    175,218.75x = 377,093.25 × 377,093.25
  4. Step 4: Simplify right side
    175,218.75x = 142,199,319,195.56
  5. Step 5: Solve for x
    x = 142,199,319,195.56/175,218.75
  6. Step 6: Final answer
    x = 811,553.10

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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.