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Finding the Third Proportional to 189,920 and 405,265

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Solution

The third proportional to 189,920 and 405,265 is: 864,783.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,920 : 405,265 = 405,265 : x
  2. Step 2: Convert to fraction form
    189,920/405,265 = 405,265/x
  3. Step 3: Cross multiply
    189,920x = 405,265 × 405,265
  4. Step 4: Simplify right side
    189,920x = 164,239,720,225
  5. Step 5: Solve for x
    x = 164,239,720,225/189,920
  6. Step 6: Final answer
    x = 864,783.70

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.