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Finding the Third Proportional to 94,641 and 208,491

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Solution

The third proportional to 94,641 and 208,491 is: 459,298.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,641 : 208,491 = 208,491 : x
  2. Step 2: Convert to fraction form
    94,641/208,491 = 208,491/x
  3. Step 3: Cross multiply
    94,641x = 208,491 × 208,491
  4. Step 4: Simplify right side
    94,641x = 43,468,497,081
  5. Step 5: Solve for x
    x = 43,468,497,081/94,641
  6. Step 6: Final answer
    x = 459,298.79

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Why These Related Problems?

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