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Finding the Third Proportional to 190,658 and 414,515

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Solution

The third proportional to 190,658 and 414,515 is: 901,208.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,658 : 414,515 = 414,515 : x
  2. Step 2: Convert to fraction form
    190,658/414,515 = 414,515/x
  3. Step 3: Cross multiply
    190,658x = 414,515 × 414,515
  4. Step 4: Simplify right side
    190,658x = 171,822,685,225
  5. Step 5: Solve for x
    x = 171,822,685,225/190,658
  6. Step 6: Final answer
    x = 901,208.89

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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.