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Finding the Third Proportional to 186.19 and 407.06

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Solution

The third proportional to 186.19 and 407.06 is: 889.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.19 : 407.06 = 407.06 : x
  2. Step 2: Convert to fraction form
    186.19/407.06 = 407.06/x
  3. Step 3: Cross multiply
    186.19x = 407.06 × 407.06
  4. Step 4: Simplify right side
    186.19x = 165,699.88
  5. Step 5: Solve for x
    x = 165,699.88/186.19
  6. Step 6: Final answer
    x = 889.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.