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Finding the Third Proportional to 94,833 and 208,758

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Solution

The third proportional to 94,833 and 208,758 is: 459,543.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,833 : 208,758 = 208,758 : x
  2. Step 2: Convert to fraction form
    94,833/208,758 = 208,758/x
  3. Step 3: Cross multiply
    94,833x = 208,758 × 208,758
  4. Step 4: Simplify right side
    94,833x = 43,579,902,564
  5. Step 5: Solve for x
    x = 43,579,902,564/94,833
  6. Step 6: Final answer
    x = 459,543.65

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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.