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Finding the Third Proportional to 94,369 and 202,233

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Solution

The third proportional to 94,369 and 202,233 is: 433,385.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,369 : 202,233 = 202,233 : x
  2. Step 2: Convert to fraction form
    94,369/202,233 = 202,233/x
  3. Step 3: Cross multiply
    94,369x = 202,233 × 202,233
  4. Step 4: Simplify right side
    94,369x = 40,898,186,289
  5. Step 5: Solve for x
    x = 40,898,186,289/94,369
  6. Step 6: Final answer
    x = 433,385.82

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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.