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Finding the Third Proportional to 119,211 and 258,924.75

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Solution

The third proportional to 119,211 and 258,924.75 is: 562,381.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,211 : 258,924.75 = 258,924.75 : x
  2. Step 2: Convert to fraction form
    119,211/258,924.75 = 258,924.75/x
  3. Step 3: Cross multiply
    119,211x = 258,924.75 × 258,924.75
  4. Step 4: Simplify right side
    119,211x = 67,042,026,162.56
  5. Step 5: Solve for x
    x = 67,042,026,162.56/119,211
  6. Step 6: Final answer
    x = 562,381.21

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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.