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Finding the Third Proportional to 346.78 and 745.03

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Solution

The third proportional to 346.78 and 745.03 is: 1,600.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.78 : 745.03 = 745.03 : x
  2. Step 2: Convert to fraction form
    346.78/745.03 = 745.03/x
  3. Step 3: Cross multiply
    346.78x = 745.03 × 745.03
  4. Step 4: Simplify right side
    346.78x = 555,071.56
  5. Step 5: Solve for x
    x = 555,071.56/346.78
  6. Step 6: Final answer
    x = 1,600.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.