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Finding the Third Proportional to 260.72 and 390.66

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Solution

The third proportional to 260.72 and 390.66 is: 585.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.72 : 390.66 = 390.66 : x
  2. Step 2: Convert to fraction form
    260.72/390.66 = 390.66/x
  3. Step 3: Cross multiply
    260.72x = 390.66 × 390.66
  4. Step 4: Simplify right side
    260.72x = 152,612.31
  5. Step 5: Solve for x
    x = 152,612.31/260.72
  6. Step 6: Final answer
    x = 585.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.