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Finding the Third Proportional to 94,654 and 208,510

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Solution

The third proportional to 94,654 and 208,510 is: 459,319.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,654 : 208,510 = 208,510 : x
  2. Step 2: Convert to fraction form
    94,654/208,510 = 208,510/x
  3. Step 3: Cross multiply
    94,654x = 208,510 × 208,510
  4. Step 4: Simplify right side
    94,654x = 43,476,420,100
  5. Step 5: Solve for x
    x = 43,476,420,100/94,654
  6. Step 6: Final answer
    x = 459,319.42

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.