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Finding the Third Proportional to 94,379.50 and 205,337

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Solution

The third proportional to 94,379.50 and 205,337 is: 446,741.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,379.50 : 205,337 = 205,337 : x
  2. Step 2: Convert to fraction form
    94,379.50/205,337 = 205,337/x
  3. Step 3: Cross multiply
    94,379.50x = 205,337 × 205,337
  4. Step 4: Simplify right side
    94,379.50x = 42,163,283,569
  5. Step 5: Solve for x
    x = 42,163,283,569/94,379.50
  6. Step 6: Final answer
    x = 446,741.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.