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Finding the Third Proportional to 214,256 and 306,084

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Solution

The third proportional to 214,256 and 306,084 is: 437,268.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,256 : 306,084 = 306,084 : x
  2. Step 2: Convert to fraction form
    214,256/306,084 = 306,084/x
  3. Step 3: Cross multiply
    214,256x = 306,084 × 306,084
  4. Step 4: Simplify right side
    214,256x = 93,687,415,056
  5. Step 5: Solve for x
    x = 93,687,415,056/214,256
  6. Step 6: Final answer
    x = 437,268.57

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.