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Finding the Third Proportional to 148.63 and 325.63

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Solution

The third proportional to 148.63 and 325.63 is: 713.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.63 : 325.63 = 325.63 : x
  2. Step 2: Convert to fraction form
    148.63/325.63 = 325.63/x
  3. Step 3: Cross multiply
    148.63x = 325.63 × 325.63
  4. Step 4: Simplify right side
    148.63x = 106,031.64
  5. Step 5: Solve for x
    x = 106,031.64/148.63
  6. Step 6: Final answer
    x = 713.42

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.