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Finding the Third Proportional to 213,068 and 466,225

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Solution

The third proportional to 213,068 and 466,225 is: 1,020,170.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,068 : 466,225 = 466,225 : x
  2. Step 2: Convert to fraction form
    213,068/466,225 = 466,225/x
  3. Step 3: Cross multiply
    213,068x = 466,225 × 466,225
  4. Step 4: Simplify right side
    213,068x = 217,365,750,625
  5. Step 5: Solve for x
    x = 217,365,750,625/213,068
  6. Step 6: Final answer
    x = 1,020,170.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.