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Finding the Third Proportional to 208,498 and 335,710

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Solution

The third proportional to 208,498 and 335,710 is: 540,538.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,498 : 335,710 = 335,710 : x
  2. Step 2: Convert to fraction form
    208,498/335,710 = 335,710/x
  3. Step 3: Cross multiply
    208,498x = 335,710 × 335,710
  4. Step 4: Simplify right side
    208,498x = 112,701,204,100
  5. Step 5: Solve for x
    x = 112,701,204,100/208,498
  6. Step 6: Final answer
    x = 540,538.54

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.