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Finding the Third Proportional to 344.81 and 548.65

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Solution

The third proportional to 344.81 and 548.65 is: 872.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.81 : 548.65 = 548.65 : x
  2. Step 2: Convert to fraction form
    344.81/548.65 = 548.65/x
  3. Step 3: Cross multiply
    344.81x = 548.65 × 548.65
  4. Step 4: Simplify right side
    344.81x = 301,015.11
  5. Step 5: Solve for x
    x = 301,015.11/344.81
  6. Step 6: Final answer
    x = 872.98

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.