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Finding the Third Proportional to 94,365 and 202,225

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Solution

The third proportional to 94,365 and 202,225 is: 433,369.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,365 : 202,225 = 202,225 : x
  2. Step 2: Convert to fraction form
    94,365/202,225 = 202,225/x
  3. Step 3: Cross multiply
    94,365x = 202,225 × 202,225
  4. Step 4: Simplify right side
    94,365x = 40,894,950,625
  5. Step 5: Solve for x
    x = 40,894,950,625/94,365
  6. Step 6: Final answer
    x = 433,369.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.