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Finding the Third Proportional to 179,782.50 and 394,557

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Solution

The third proportional to 179,782.50 and 394,557 is: 865,908.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,782.50 : 394,557 = 394,557 : x
  2. Step 2: Convert to fraction form
    179,782.50/394,557 = 394,557/x
  3. Step 3: Cross multiply
    179,782.50x = 394,557 × 394,557
  4. Step 4: Simplify right side
    179,782.50x = 155,675,226,249
  5. Step 5: Solve for x
    x = 155,675,226,249/179,782.50
  6. Step 6: Final answer
    x = 865,908.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.