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Finding the Third Proportional to 119,589 and 251,570

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Solution

The third proportional to 119,589 and 251,570 is: 529,208.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,589 : 251,570 = 251,570 : x
  2. Step 2: Convert to fraction form
    119,589/251,570 = 251,570/x
  3. Step 3: Cross multiply
    119,589x = 251,570 × 251,570
  4. Step 4: Simplify right side
    119,589x = 63,287,464,900
  5. Step 5: Solve for x
    x = 63,287,464,900/119,589
  6. Step 6: Final answer
    x = 529,208.08

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.