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Finding the Third Proportional to 208,552.22 and 455,331.38

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Solution

The third proportional to 208,552.22 and 455,331.38 is: 994,123.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,552.22 : 455,331.38 = 455,331.38 : x
  2. Step 2: Convert to fraction form
    208,552.22/455,331.38 = 455,331.38/x
  3. Step 3: Cross multiply
    208,552.22x = 455,331.38 × 455,331.38
  4. Step 4: Simplify right side
    208,552.22x = 207,326,661,059.39
  5. Step 5: Solve for x
    x = 207,326,661,059.39/208,552.22
  6. Step 6: Final answer
    x = 994,123.50

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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.