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Finding the Third Proportional to 195,714 and 272,323

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Solution

The third proportional to 195,714 and 272,323 is: 378,919.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,714 : 272,323 = 272,323 : x
  2. Step 2: Convert to fraction form
    195,714/272,323 = 272,323/x
  3. Step 3: Cross multiply
    195,714x = 272,323 × 272,323
  4. Step 4: Simplify right side
    195,714x = 74,159,816,329
  5. Step 5: Solve for x
    x = 74,159,816,329/195,714
  6. Step 6: Final answer
    x = 378,919.32

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.