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Finding the Third Proportional to 850.50 and 2,300.25

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Solution

The third proportional to 850.50 and 2,300.25 is: 6,221.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.50 : 2,300.25 = 2,300.25 : x
  2. Step 2: Convert to fraction form
    850.50/2,300.25 = 2,300.25/x
  3. Step 3: Cross multiply
    850.50x = 2,300.25 × 2,300.25
  4. Step 4: Simplify right side
    850.50x = 5,291,150.06
  5. Step 5: Solve for x
    x = 5,291,150.06/850.50
  6. Step 6: Final answer
    x = 6,221.22

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Why These Related Problems?

These problems maintain the same ratio (2.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.