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Finding the Third Proportional to 208,053.56 and 449,246.25

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Solution

The third proportional to 208,053.56 and 449,246.25 is: 970,049.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,053.56 : 449,246.25 = 449,246.25 : x
  2. Step 2: Convert to fraction form
    208,053.56/449,246.25 = 449,246.25/x
  3. Step 3: Cross multiply
    208,053.56x = 449,246.25 × 449,246.25
  4. Step 4: Simplify right side
    208,053.56x = 201,822,193,139.06
  5. Step 5: Solve for x
    x = 201,822,193,139.06/208,053.56
  6. Step 6: Final answer
    x = 970,049.21

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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.