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Finding the Third Proportional to 280.88 and 410.94

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Solution

The third proportional to 280.88 and 410.94 is: 601.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.88 : 410.94 = 410.94 : x
  2. Step 2: Convert to fraction form
    280.88/410.94 = 410.94/x
  3. Step 3: Cross multiply
    280.88x = 410.94 × 410.94
  4. Step 4: Simplify right side
    280.88x = 168,869.63
  5. Step 5: Solve for x
    x = 168,869.63/280.88
  6. Step 6: Final answer
    x = 601.23

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.