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Finding the Third Proportional to 116,786.81 and 180,435.09

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Solution

The third proportional to 116,786.81 and 180,435.09 is: 278,771.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,786.81 : 180,435.09 = 180,435.09 : x
  2. Step 2: Convert to fraction form
    116,786.81/180,435.09 = 180,435.09/x
  3. Step 3: Cross multiply
    116,786.81x = 180,435.09 × 180,435.09
  4. Step 4: Simplify right side
    116,786.81x = 32,556,823,056.57
  5. Step 5: Solve for x
    x = 32,556,823,056.57/116,786.81
  6. Step 6: Final answer
    x = 278,771.40

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.