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Finding the Third Proportional to 214,240 and 438,308

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Solution

The third proportional to 214,240 and 438,308 is: 896,722.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,240 : 438,308 = 438,308 : x
  2. Step 2: Convert to fraction form
    214,240/438,308 = 438,308/x
  3. Step 3: Cross multiply
    214,240x = 438,308 × 438,308
  4. Step 4: Simplify right side
    214,240x = 192,113,902,864
  5. Step 5: Solve for x
    x = 192,113,902,864/214,240
  6. Step 6: Final answer
    x = 896,722.85

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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.