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Finding the Third Proportional to 196,809.75 and 313,315.50

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Solution

The third proportional to 196,809.75 and 313,315.50 is: 498,789.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,809.75 : 313,315.50 = 313,315.50 : x
  2. Step 2: Convert to fraction form
    196,809.75/313,315.50 = 313,315.50/x
  3. Step 3: Cross multiply
    196,809.75x = 313,315.50 × 313,315.50
  4. Step 4: Simplify right side
    196,809.75x = 98,166,602,540.25
  5. Step 5: Solve for x
    x = 98,166,602,540.25/196,809.75
  6. Step 6: Final answer
    x = 498,789.33

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.