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Finding the Third Proportional to 186.34 and 403.37

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Solution

The third proportional to 186.34 and 403.37 is: 873.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.34 : 403.37 = 403.37 : x
  2. Step 2: Convert to fraction form
    186.34/403.37 = 403.37/x
  3. Step 3: Cross multiply
    186.34x = 403.37 × 403.37
  4. Step 4: Simplify right side
    186.34x = 162,703.51
  5. Step 5: Solve for x
    x = 162,703.51/186.34
  6. Step 6: Final answer
    x = 873.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.