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Finding the Third Proportional to 196,968.75 and 286,839

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Solution

The third proportional to 196,968.75 and 286,839 is: 417,714.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,968.75 : 286,839 = 286,839 : x
  2. Step 2: Convert to fraction form
    196,968.75/286,839 = 286,839/x
  3. Step 3: Cross multiply
    196,968.75x = 286,839 × 286,839
  4. Step 4: Simplify right side
    196,968.75x = 82,276,611,921
  5. Step 5: Solve for x
    x = 82,276,611,921/196,968.75
  6. Step 6: Final answer
    x = 417,714.04

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.