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Finding the Third Proportional to 97,260 and 228,990

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Solution

The third proportional to 97,260 and 228,990 is: 539,136.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,260 : 228,990 = 228,990 : x
  2. Step 2: Convert to fraction form
    97,260/228,990 = 228,990/x
  3. Step 3: Cross multiply
    97,260x = 228,990 × 228,990
  4. Step 4: Simplify right side
    97,260x = 52,436,420,100
  5. Step 5: Solve for x
    x = 52,436,420,100/97,260
  6. Step 6: Final answer
    x = 539,136.54

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.