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Finding the Third Proportional to 164,238 and 228,825

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Solution

The third proportional to 164,238 and 228,825 is: 318,811.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,238 : 228,825 = 228,825 : x
  2. Step 2: Convert to fraction form
    164,238/228,825 = 228,825/x
  3. Step 3: Cross multiply
    164,238x = 228,825 × 228,825
  4. Step 4: Simplify right side
    164,238x = 52,360,880,625
  5. Step 5: Solve for x
    x = 52,360,880,625/164,238
  6. Step 6: Final answer
    x = 318,811.00

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.