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Finding the Third Proportional to 208,078.50 and 448,935

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Solution

The third proportional to 208,078.50 and 448,935 is: 968,589.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,078.50 : 448,935 = 448,935 : x
  2. Step 2: Convert to fraction form
    208,078.50/448,935 = 448,935/x
  3. Step 3: Cross multiply
    208,078.50x = 448,935 × 448,935
  4. Step 4: Simplify right side
    208,078.50x = 201,542,634,225
  5. Step 5: Solve for x
    x = 201,542,634,225/208,078.50
  6. Step 6: Final answer
    x = 968,589.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.