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Finding the Third Proportional to 228,969 and 350,253

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Solution

The third proportional to 228,969 and 350,253 is: 535,780.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,969 : 350,253 = 350,253 : x
  2. Step 2: Convert to fraction form
    228,969/350,253 = 350,253/x
  3. Step 3: Cross multiply
    228,969x = 350,253 × 350,253
  4. Step 4: Simplify right side
    228,969x = 122,677,164,009
  5. Step 5: Solve for x
    x = 122,677,164,009/228,969
  6. Step 6: Final answer
    x = 535,780.67

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.