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Finding the Third Proportional to 820.23 and 1,195.22

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Solution

The third proportional to 820.23 and 1,195.22 is: 1,741.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.23 : 1,195.22 = 1,195.22 : x
  2. Step 2: Convert to fraction form
    820.23/1,195.22 = 1,195.22/x
  3. Step 3: Cross multiply
    820.23x = 1,195.22 × 1,195.22
  4. Step 4: Simplify right side
    820.23x = 1,428,561.87
  5. Step 5: Solve for x
    x = 1,428,561.87/820.23
  6. Step 6: Final answer
    x = 1,741.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.