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Finding the Third Proportional to 228,230 and 333,890

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Solution

The third proportional to 228,230 and 333,890 is: 488,465.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,230 : 333,890 = 333,890 : x
  2. Step 2: Convert to fraction form
    228,230/333,890 = 333,890/x
  3. Step 3: Cross multiply
    228,230x = 333,890 × 333,890
  4. Step 4: Simplify right side
    228,230x = 111,482,532,100
  5. Step 5: Solve for x
    x = 111,482,532,100/228,230
  6. Step 6: Final answer
    x = 488,465.72

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.