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Finding the Third Proportional to 150,261 and 214,859

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Solution

The third proportional to 150,261 and 214,859 is: 307,228.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,261 : 214,859 = 214,859 : x
  2. Step 2: Convert to fraction form
    150,261/214,859 = 214,859/x
  3. Step 3: Cross multiply
    150,261x = 214,859 × 214,859
  4. Step 4: Simplify right side
    150,261x = 46,164,389,881
  5. Step 5: Solve for x
    x = 46,164,389,881/150,261
  6. Step 6: Final answer
    x = 307,228.02

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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.