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Finding the Third Proportional to 373.36 and 767.60

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Solution

The third proportional to 373.36 and 767.60 is: 1,578.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.36 : 767.60 = 767.60 : x
  2. Step 2: Convert to fraction form
    373.36/767.60 = 767.60/x
  3. Step 3: Cross multiply
    373.36x = 767.60 × 767.60
  4. Step 4: Simplify right side
    373.36x = 589,212.16
  5. Step 5: Solve for x
    x = 589,212.16/373.36
  6. Step 6: Final answer
    x = 1,578.14

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.