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Finding the Third Proportional to 196,875 and 295,251.75

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Solution

The third proportional to 196,875 and 295,251.75 is: 442,786.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,875 : 295,251.75 = 295,251.75 : x
  2. Step 2: Convert to fraction form
    196,875/295,251.75 = 295,251.75/x
  3. Step 3: Cross multiply
    196,875x = 295,251.75 × 295,251.75
  4. Step 4: Simplify right side
    196,875x = 87,173,595,878.06
  5. Step 5: Solve for x
    x = 87,173,595,878.06/196,875
  6. Step 6: Final answer
    x = 442,786.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.