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Finding the Third Proportional to 201,933 and 425,169

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Solution

The third proportional to 201,933 and 425,169 is: 895,191.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,933 : 425,169 = 425,169 : x
  2. Step 2: Convert to fraction form
    201,933/425,169 = 425,169/x
  3. Step 3: Cross multiply
    201,933x = 425,169 × 425,169
  4. Step 4: Simplify right side
    201,933x = 180,768,678,561
  5. Step 5: Solve for x
    x = 180,768,678,561/201,933
  6. Step 6: Final answer
    x = 895,191.37

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.