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Finding the Third Proportional to 199.50 and 313.50

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Solution

The third proportional to 199.50 and 313.50 is: 492.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.50 : 313.50 = 313.50 : x
  2. Step 2: Convert to fraction form
    199.50/313.50 = 313.50/x
  3. Step 3: Cross multiply
    199.50x = 313.50 × 313.50
  4. Step 4: Simplify right side
    199.50x = 98,282.25
  5. Step 5: Solve for x
    x = 98,282.25/199.50
  6. Step 6: Final answer
    x = 492.64

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.