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Finding the Third Proportional to 208,175.44 and 453,999.75

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Solution

The third proportional to 208,175.44 and 453,999.75 is: 990,106.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,175.44 : 453,999.75 = 453,999.75 : x
  2. Step 2: Convert to fraction form
    208,175.44/453,999.75 = 453,999.75/x
  3. Step 3: Cross multiply
    208,175.44x = 453,999.75 × 453,999.75
  4. Step 4: Simplify right side
    208,175.44x = 206,115,773,000.06
  5. Step 5: Solve for x
    x = 206,115,773,000.06/208,175.44
  6. Step 6: Final answer
    x = 990,106.11

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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.