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Finding the Third Proportional to 94,641 and 208,965

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Solution

The third proportional to 94,641 and 208,965 is: 461,389.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,641 : 208,965 = 208,965 : x
  2. Step 2: Convert to fraction form
    94,641/208,965 = 208,965/x
  3. Step 3: Cross multiply
    94,641x = 208,965 × 208,965
  4. Step 4: Simplify right side
    94,641x = 43,666,371,225
  5. Step 5: Solve for x
    x = 43,666,371,225/94,641
  6. Step 6: Final answer
    x = 461,389.58

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.