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Finding the Third Proportional to 195,080 and 427,384

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Solution

The third proportional to 195,080 and 427,384 is: 936,318.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,080 : 427,384 = 427,384 : x
  2. Step 2: Convert to fraction form
    195,080/427,384 = 427,384/x
  3. Step 3: Cross multiply
    195,080x = 427,384 × 427,384
  4. Step 4: Simplify right side
    195,080x = 182,657,083,456
  5. Step 5: Solve for x
    x = 182,657,083,456/195,080
  6. Step 6: Final answer
    x = 936,318.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.