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Finding the Third Proportional to 196,935 and 295,336.50

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Solution

The third proportional to 196,935 and 295,336.50 is: 442,905.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,935 : 295,336.50 = 295,336.50 : x
  2. Step 2: Convert to fraction form
    196,935/295,336.50 = 295,336.50/x
  3. Step 3: Cross multiply
    196,935x = 295,336.50 × 295,336.50
  4. Step 4: Simplify right side
    196,935x = 87,223,648,232.25
  5. Step 5: Solve for x
    x = 87,223,648,232.25/196,935
  6. Step 6: Final answer
    x = 442,905.77

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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.