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Finding the Third Proportional to 189,496 and 405,250

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Solution

The third proportional to 189,496 and 405,250 is: 866,654.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,496 : 405,250 = 405,250 : x
  2. Step 2: Convert to fraction form
    189,496/405,250 = 405,250/x
  3. Step 3: Cross multiply
    189,496x = 405,250 × 405,250
  4. Step 4: Simplify right side
    189,496x = 164,227,562,500
  5. Step 5: Solve for x
    x = 164,227,562,500/189,496
  6. Step 6: Final answer
    x = 866,654.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.