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Finding the Third Proportional to 214,236 and 438,300

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Solution

The third proportional to 214,236 and 438,300 is: 896,706.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,236 : 438,300 = 438,300 : x
  2. Step 2: Convert to fraction form
    214,236/438,300 = 438,300/x
  3. Step 3: Cross multiply
    214,236x = 438,300 × 438,300
  4. Step 4: Simplify right side
    214,236x = 192,106,890,000
  5. Step 5: Solve for x
    x = 192,106,890,000/214,236
  6. Step 6: Final answer
    x = 896,706.86

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.