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Finding the Third Proportional to 188,973 and 409,941

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Solution

The third proportional to 188,973 and 409,941 is: 889,289.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,973 : 409,941 = 409,941 : x
  2. Step 2: Convert to fraction form
    188,973/409,941 = 409,941/x
  3. Step 3: Cross multiply
    188,973x = 409,941 × 409,941
  4. Step 4: Simplify right side
    188,973x = 168,051,623,481
  5. Step 5: Solve for x
    x = 168,051,623,481/188,973
  6. Step 6: Final answer
    x = 889,289.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.