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Finding the Third Proportional to 148,362 and 326,208

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Solution

The third proportional to 148,362 and 326,208 is: 717,243.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,362 : 326,208 = 326,208 : x
  2. Step 2: Convert to fraction form
    148,362/326,208 = 326,208/x
  3. Step 3: Cross multiply
    148,362x = 326,208 × 326,208
  4. Step 4: Simplify right side
    148,362x = 106,411,659,264
  5. Step 5: Solve for x
    x = 106,411,659,264/148,362
  6. Step 6: Final answer
    x = 717,243.36

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.