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Finding the Third Proportional to 208,899 and 451,048.50

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Solution

The third proportional to 208,899 and 451,048.50 is: 973,890.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,899 : 451,048.50 = 451,048.50 : x
  2. Step 2: Convert to fraction form
    208,899/451,048.50 = 451,048.50/x
  3. Step 3: Cross multiply
    208,899x = 451,048.50 × 451,048.50
  4. Step 4: Simplify right side
    208,899x = 203,444,749,352.25
  5. Step 5: Solve for x
    x = 203,444,749,352.25/208,899
  6. Step 6: Final answer
    x = 973,890.49

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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.