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Finding the Third Proportional to 262.70 and 419.67

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Solution

The third proportional to 262.70 and 419.67 is: 670.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.70 : 419.67 = 419.67 : x
  2. Step 2: Convert to fraction form
    262.70/419.67 = 419.67/x
  3. Step 3: Cross multiply
    262.70x = 419.67 × 419.67
  4. Step 4: Simplify right side
    262.70x = 176,125.71
  5. Step 5: Solve for x
    x = 176,125.71/262.70
  6. Step 6: Final answer
    x = 670.45

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.