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Finding the Third Proportional to 116,389.75 and 185,960.75

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Solution

The third proportional to 116,389.75 and 185,960.75 is: 297,117.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,389.75 : 185,960.75 = 185,960.75 : x
  2. Step 2: Convert to fraction form
    116,389.75/185,960.75 = 185,960.75/x
  3. Step 3: Cross multiply
    116,389.75x = 185,960.75 × 185,960.75
  4. Step 4: Simplify right side
    116,389.75x = 34,581,400,540.56
  5. Step 5: Solve for x
    x = 34,581,400,540.56/116,389.75
  6. Step 6: Final answer
    x = 297,117.23

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.