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Finding the Third Proportional to 196,961.50 and 286,827

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Solution

The third proportional to 196,961.50 and 286,827 is: 417,694.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,961.50 : 286,827 = 286,827 : x
  2. Step 2: Convert to fraction form
    196,961.50/286,827 = 286,827/x
  3. Step 3: Cross multiply
    196,961.50x = 286,827 × 286,827
  4. Step 4: Simplify right side
    196,961.50x = 82,269,727,929
  5. Step 5: Solve for x
    x = 82,269,727,929/196,961.50
  6. Step 6: Final answer
    x = 417,694.46

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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.