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Finding the Third Proportional to 214,518 and 282,093

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Solution

The third proportional to 214,518 and 282,093 is: 370,954.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,518 : 282,093 = 282,093 : x
  2. Step 2: Convert to fraction form
    214,518/282,093 = 282,093/x
  3. Step 3: Cross multiply
    214,518x = 282,093 × 282,093
  4. Step 4: Simplify right side
    214,518x = 79,576,460,649
  5. Step 5: Solve for x
    x = 79,576,460,649/214,518
  6. Step 6: Final answer
    x = 370,954.70

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.