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Finding the Third Proportional to 146,979 and 227,097

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Solution

The third proportional to 146,979 and 227,097 is: 350,887.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,979 : 227,097 = 227,097 : x
  2. Step 2: Convert to fraction form
    146,979/227,097 = 227,097/x
  3. Step 3: Cross multiply
    146,979x = 227,097 × 227,097
  4. Step 4: Simplify right side
    146,979x = 51,573,047,409
  5. Step 5: Solve for x
    x = 51,573,047,409/146,979
  6. Step 6: Final answer
    x = 350,887.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.