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Finding the Third Proportional to 265.97 and 412.88

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Solution

The third proportional to 265.97 and 412.88 is: 640.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.97 : 412.88 = 412.88 : x
  2. Step 2: Convert to fraction form
    265.97/412.88 = 412.88/x
  3. Step 3: Cross multiply
    265.97x = 412.88 × 412.88
  4. Step 4: Simplify right side
    265.97x = 170,465.77
  5. Step 5: Solve for x
    x = 170,465.77/265.97
  6. Step 6: Final answer
    x = 640.92

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.