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Finding the Third Proportional to 196,812.50 and 313,319.25

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Solution

The third proportional to 196,812.50 and 313,319.25 is: 498,794.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,812.50 : 313,319.25 = 313,319.25 : x
  2. Step 2: Convert to fraction form
    196,812.50/313,319.25 = 313,319.25/x
  3. Step 3: Cross multiply
    196,812.50x = 313,319.25 × 313,319.25
  4. Step 4: Simplify right side
    196,812.50x = 98,168,952,420.56
  5. Step 5: Solve for x
    x = 98,168,952,420.56/196,812.50
  6. Step 6: Final answer
    x = 498,794.30

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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.