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Finding the Third Proportional to 193,120 and 282,765

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Solution

The third proportional to 193,120 and 282,765 is: 414,022.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,120 : 282,765 = 282,765 : x
  2. Step 2: Convert to fraction form
    193,120/282,765 = 282,765/x
  3. Step 3: Cross multiply
    193,120x = 282,765 × 282,765
  4. Step 4: Simplify right side
    193,120x = 79,956,045,225
  5. Step 5: Solve for x
    x = 79,956,045,225/193,120
  6. Step 6: Final answer
    x = 414,022.60

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.