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Finding the Third Proportional to 94,699 and 203,735

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Solution

The third proportional to 94,699 and 203,735 is: 438,314.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,699 : 203,735 = 203,735 : x
  2. Step 2: Convert to fraction form
    94,699/203,735 = 203,735/x
  3. Step 3: Cross multiply
    94,699x = 203,735 × 203,735
  4. Step 4: Simplify right side
    94,699x = 41,507,950,225
  5. Step 5: Solve for x
    x = 41,507,950,225/94,699
  6. Step 6: Final answer
    x = 438,314.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.