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Finding the Third Proportional to 112,047 and 234,481.50

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Solution

The third proportional to 112,047 and 234,481.50 is: 490,700.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,047 : 234,481.50 = 234,481.50 : x
  2. Step 2: Convert to fraction form
    112,047/234,481.50 = 234,481.50/x
  3. Step 3: Cross multiply
    112,047x = 234,481.50 × 234,481.50
  4. Step 4: Simplify right side
    112,047x = 54,981,573,842.25
  5. Step 5: Solve for x
    x = 54,981,573,842.25/112,047
  6. Step 6: Final answer
    x = 490,700.99

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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.