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Finding the Third Proportional to 228,969 and 350,271

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Solution

The third proportional to 228,969 and 350,271 is: 535,835.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,969 : 350,271 = 350,271 : x
  2. Step 2: Convert to fraction form
    228,969/350,271 = 350,271/x
  3. Step 3: Cross multiply
    228,969x = 350,271 × 350,271
  4. Step 4: Simplify right side
    228,969x = 122,689,773,441
  5. Step 5: Solve for x
    x = 122,689,773,441/228,969
  6. Step 6: Final answer
    x = 535,835.74

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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.