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Finding the Third Proportional to 208,040 and 448,125.75

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Solution

The third proportional to 208,040 and 448,125.75 is: 965,279.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,040 : 448,125.75 = 448,125.75 : x
  2. Step 2: Convert to fraction form
    208,040/448,125.75 = 448,125.75/x
  3. Step 3: Cross multiply
    208,040x = 448,125.75 × 448,125.75
  4. Step 4: Simplify right side
    208,040x = 200,816,687,813.06
  5. Step 5: Solve for x
    x = 200,816,687,813.06/208,040
  6. Step 6: Final answer
    x = 965,279.21

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.