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Finding the Third Proportional to 196,953.50 and 295,356

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Solution

The third proportional to 196,953.50 and 295,356 is: 442,922.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,953.50 : 295,356 = 295,356 : x
  2. Step 2: Convert to fraction form
    196,953.50/295,356 = 295,356/x
  3. Step 3: Cross multiply
    196,953.50x = 295,356 × 295,356
  4. Step 4: Simplify right side
    196,953.50x = 87,235,166,736
  5. Step 5: Solve for x
    x = 87,235,166,736/196,953.50
  6. Step 6: Final answer
    x = 442,922.65

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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.