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Finding the Third Proportional to 214,320 and 301,896

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Solution

The third proportional to 214,320 and 301,896 is: 425,257.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,320 : 301,896 = 301,896 : x
  2. Step 2: Convert to fraction form
    214,320/301,896 = 301,896/x
  3. Step 3: Cross multiply
    214,320x = 301,896 × 301,896
  4. Step 4: Simplify right side
    214,320x = 91,141,194,816
  5. Step 5: Solve for x
    x = 91,141,194,816/214,320
  6. Step 6: Final answer
    x = 425,257.53

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.