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Finding the Third Proportional to 146,218 and 214,258

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Solution

The third proportional to 146,218 and 214,258 is: 313,959.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,218 : 214,258 = 214,258 : x
  2. Step 2: Convert to fraction form
    146,218/214,258 = 214,258/x
  3. Step 3: Cross multiply
    146,218x = 214,258 × 214,258
  4. Step 4: Simplify right side
    146,218x = 45,906,490,564
  5. Step 5: Solve for x
    x = 45,906,490,564/146,218
  6. Step 6: Final answer
    x = 313,959.23

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.