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Finding the Third Proportional to 95,382 and 205,526

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Solution

The third proportional to 95,382 and 205,526 is: 442,860.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,382 : 205,526 = 205,526 : x
  2. Step 2: Convert to fraction form
    95,382/205,526 = 205,526/x
  3. Step 3: Cross multiply
    95,382x = 205,526 × 205,526
  4. Step 4: Simplify right side
    95,382x = 42,240,936,676
  5. Step 5: Solve for x
    x = 42,240,936,676/95,382
  6. Step 6: Final answer
    x = 442,860.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.