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Finding the Third Proportional to 365.50 and 847.50

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Solution

The third proportional to 365.50 and 847.50 is: 1,965.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.50 : 847.50 = 847.50 : x
  2. Step 2: Convert to fraction form
    365.50/847.50 = 847.50/x
  3. Step 3: Cross multiply
    365.50x = 847.50 × 847.50
  4. Step 4: Simplify right side
    365.50x = 718,256.25
  5. Step 5: Solve for x
    x = 718,256.25/365.50
  6. Step 6: Final answer
    x = 1,965.13

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.