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Finding the Third Proportional to 214,470 and 282,026

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Solution

The third proportional to 214,470 and 282,026 is: 370,861.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,470 : 282,026 = 282,026 : x
  2. Step 2: Convert to fraction form
    214,470/282,026 = 282,026/x
  3. Step 3: Cross multiply
    214,470x = 282,026 × 282,026
  4. Step 4: Simplify right side
    214,470x = 79,538,664,676
  5. Step 5: Solve for x
    x = 79,538,664,676/214,470
  6. Step 6: Final answer
    x = 370,861.49

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.