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Finding the Third Proportional to 190,515 and 414,894

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Solution

The third proportional to 190,515 and 414,894 is: 903,535.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,515 : 414,894 = 414,894 : x
  2. Step 2: Convert to fraction form
    190,515/414,894 = 414,894/x
  3. Step 3: Cross multiply
    190,515x = 414,894 × 414,894
  4. Step 4: Simplify right side
    190,515x = 172,137,031,236
  5. Step 5: Solve for x
    x = 172,137,031,236/190,515
  6. Step 6: Final answer
    x = 903,535.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.