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Finding the Third Proportional to 148,275 and 308,838

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Solution

The third proportional to 148,275 and 308,838 is: 643,270.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,275 : 308,838 = 308,838 : x
  2. Step 2: Convert to fraction form
    148,275/308,838 = 308,838/x
  3. Step 3: Cross multiply
    148,275x = 308,838 × 308,838
  4. Step 4: Simplify right side
    148,275x = 95,380,910,244
  5. Step 5: Solve for x
    x = 95,380,910,244/148,275
  6. Step 6: Final answer
    x = 643,270.34

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.