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Finding the Third Proportional to 110,148 and 229,782

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Solution

The third proportional to 110,148 and 229,782 is: 479,352.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,148 : 229,782 = 229,782 : x
  2. Step 2: Convert to fraction form
    110,148/229,782 = 229,782/x
  3. Step 3: Cross multiply
    110,148x = 229,782 × 229,782
  4. Step 4: Simplify right side
    110,148x = 52,799,767,524
  5. Step 5: Solve for x
    x = 52,799,767,524/110,148
  6. Step 6: Final answer
    x = 479,352.94

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.