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Finding the Third Proportional to 175,520.25 and 371,958.75

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Solution

The third proportional to 175,520.25 and 371,958.75 is: 788,247.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,520.25 : 371,958.75 = 371,958.75 : x
  2. Step 2: Convert to fraction form
    175,520.25/371,958.75 = 371,958.75/x
  3. Step 3: Cross multiply
    175,520.25x = 371,958.75 × 371,958.75
  4. Step 4: Simplify right side
    175,520.25x = 138,353,311,701.56
  5. Step 5: Solve for x
    x = 138,353,311,701.56/175,520.25
  6. Step 6: Final answer
    x = 788,247.01

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.