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Finding the Third Proportional to 165,804.50 and 355,247

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Solution

The third proportional to 165,804.50 and 355,247 is: 761,139.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,804.50 : 355,247 = 355,247 : x
  2. Step 2: Convert to fraction form
    165,804.50/355,247 = 355,247/x
  3. Step 3: Cross multiply
    165,804.50x = 355,247 × 355,247
  4. Step 4: Simplify right side
    165,804.50x = 126,200,431,009
  5. Step 5: Solve for x
    x = 126,200,431,009/165,804.50
  6. Step 6: Final answer
    x = 761,139.96

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.