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Finding the Third Proportional to 208,004 and 449,220

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Solution

The third proportional to 208,004 and 449,220 is: 970,166.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,004 : 449,220 = 449,220 : x
  2. Step 2: Convert to fraction form
    208,004/449,220 = 449,220/x
  3. Step 3: Cross multiply
    208,004x = 449,220 × 449,220
  4. Step 4: Simplify right side
    208,004x = 201,798,608,400
  5. Step 5: Solve for x
    x = 201,798,608,400/208,004
  6. Step 6: Final answer
    x = 970,166.96

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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.