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Finding the Third Proportional to 97,401 and 202,290

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Solution

The third proportional to 97,401 and 202,290 is: 420,131.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,401 : 202,290 = 202,290 : x
  2. Step 2: Convert to fraction form
    97,401/202,290 = 202,290/x
  3. Step 3: Cross multiply
    97,401x = 202,290 × 202,290
  4. Step 4: Simplify right side
    97,401x = 40,921,244,100
  5. Step 5: Solve for x
    x = 40,921,244,100/97,401
  6. Step 6: Final answer
    x = 420,131.66

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.