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Finding the Third Proportional to 195,362 and 295,803

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Solution

The third proportional to 195,362 and 295,803 is: 447,883.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,362 : 295,803 = 295,803 : x
  2. Step 2: Convert to fraction form
    195,362/295,803 = 295,803/x
  3. Step 3: Cross multiply
    195,362x = 295,803 × 295,803
  4. Step 4: Simplify right side
    195,362x = 87,499,414,809
  5. Step 5: Solve for x
    x = 87,499,414,809/195,362
  6. Step 6: Final answer
    x = 447,883.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.