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Finding the Third Proportional to 140,882 and 208,995

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Solution

The third proportional to 140,882 and 208,995 is: 310,038.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,882 : 208,995 = 208,995 : x
  2. Step 2: Convert to fraction form
    140,882/208,995 = 208,995/x
  3. Step 3: Cross multiply
    140,882x = 208,995 × 208,995
  4. Step 4: Simplify right side
    140,882x = 43,678,910,025
  5. Step 5: Solve for x
    x = 43,678,910,025/140,882
  6. Step 6: Final answer
    x = 310,038.97

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.