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Finding the Third Proportional to 100,174 and 211,526

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Solution

The third proportional to 100,174 and 211,526 is: 446,655.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,174 : 211,526 = 211,526 : x
  2. Step 2: Convert to fraction form
    100,174/211,526 = 211,526/x
  3. Step 3: Cross multiply
    100,174x = 211,526 × 211,526
  4. Step 4: Simplify right side
    100,174x = 44,743,248,676
  5. Step 5: Solve for x
    x = 44,743,248,676/100,174
  6. Step 6: Final answer
    x = 446,655.31

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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.