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Finding the Third Proportional to 190,514 and 414,892

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Solution

The third proportional to 190,514 and 414,892 is: 903,531.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,514 : 414,892 = 414,892 : x
  2. Step 2: Convert to fraction form
    190,514/414,892 = 414,892/x
  3. Step 3: Cross multiply
    190,514x = 414,892 × 414,892
  4. Step 4: Simplify right side
    190,514x = 172,135,371,664
  5. Step 5: Solve for x
    x = 172,135,371,664/190,514
  6. Step 6: Final answer
    x = 903,531.35

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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.