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Finding the Third Proportional to 186.56 and 260.98

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Solution

The third proportional to 186.56 and 260.98 is: 365.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.56 : 260.98 = 260.98 : x
  2. Step 2: Convert to fraction form
    186.56/260.98 = 260.98/x
  3. Step 3: Cross multiply
    186.56x = 260.98 × 260.98
  4. Step 4: Simplify right side
    186.56x = 68,108.77
  5. Step 5: Solve for x
    x = 68,108.77/186.56
  6. Step 6: Final answer
    x = 365.07

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.