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Finding the Third Proportional to 146,254 and 213,838

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Solution

The third proportional to 146,254 and 213,838 is: 312,652.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,254 : 213,838 = 213,838 : x
  2. Step 2: Convert to fraction form
    146,254/213,838 = 213,838/x
  3. Step 3: Cross multiply
    146,254x = 213,838 × 213,838
  4. Step 4: Simplify right side
    146,254x = 45,726,690,244
  5. Step 5: Solve for x
    x = 45,726,690,244/146,254
  6. Step 6: Final answer
    x = 312,652.58

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.