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Finding the Third Proportional to 195,576 and 295,236

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Solution

The third proportional to 195,576 and 295,236 is: 445,679.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,576 : 295,236 = 295,236 : x
  2. Step 2: Convert to fraction form
    195,576/295,236 = 295,236/x
  3. Step 3: Cross multiply
    195,576x = 295,236 × 295,236
  4. Step 4: Simplify right side
    195,576x = 87,164,295,696
  5. Step 5: Solve for x
    x = 87,164,295,696/195,576
  6. Step 6: Final answer
    x = 445,679.92

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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.