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Finding the Third Proportional to 332.65 and 901.23

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Solution

The third proportional to 332.65 and 901.23 is: 2,441.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.65 : 901.23 = 901.23 : x
  2. Step 2: Convert to fraction form
    332.65/901.23 = 901.23/x
  3. Step 3: Cross multiply
    332.65x = 901.23 × 901.23
  4. Step 4: Simplify right side
    332.65x = 812,216.36
  5. Step 5: Solve for x
    x = 812,216.36/332.65
  6. Step 6: Final answer
    x = 2,441.67

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Why These Related Problems?

These problems maintain the same ratio (2.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.