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Finding the Third Proportional to 193,114 and 282,758

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Solution

The third proportional to 193,114 and 282,758 is: 414,014.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,114 : 282,758 = 282,758 : x
  2. Step 2: Convert to fraction form
    193,114/282,758 = 282,758/x
  3. Step 3: Cross multiply
    193,114x = 282,758 × 282,758
  4. Step 4: Simplify right side
    193,114x = 79,952,086,564
  5. Step 5: Solve for x
    x = 79,952,086,564/193,114
  6. Step 6: Final answer
    x = 414,014.97

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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.