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Finding the Third Proportional to 195,264 and 295,056

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Solution

The third proportional to 195,264 and 295,056 is: 445,847.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,264 : 295,056 = 295,056 : x
  2. Step 2: Convert to fraction form
    195,264/295,056 = 295,056/x
  3. Step 3: Cross multiply
    195,264x = 295,056 × 295,056
  4. Step 4: Simplify right side
    195,264x = 87,058,043,136
  5. Step 5: Solve for x
    x = 87,058,043,136/195,264
  6. Step 6: Final answer
    x = 445,847.89

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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.