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Finding the Third Proportional to 195,256 and 426,312

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Solution

The third proportional to 195,256 and 426,312 is: 930,787.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,256 : 426,312 = 426,312 : x
  2. Step 2: Convert to fraction form
    195,256/426,312 = 426,312/x
  3. Step 3: Cross multiply
    195,256x = 426,312 × 426,312
  4. Step 4: Simplify right side
    195,256x = 181,741,921,344
  5. Step 5: Solve for x
    x = 181,741,921,344/195,256
  6. Step 6: Final answer
    x = 930,787.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.