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Finding the Third Proportional to 116,400 and 170,568

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Solution

The third proportional to 116,400 and 170,568 is: 249,943.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,400 : 170,568 = 170,568 : x
  2. Step 2: Convert to fraction form
    116,400/170,568 = 170,568/x
  3. Step 3: Cross multiply
    116,400x = 170,568 × 170,568
  4. Step 4: Simplify right side
    116,400x = 29,093,442,624
  5. Step 5: Solve for x
    x = 29,093,442,624/116,400
  6. Step 6: Final answer
    x = 249,943.67

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.