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Finding the Third Proportional to 223,844.13 and 483,137.16

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Solution

The third proportional to 223,844.13 and 483,137.16 is: 1,042,785.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,844.13 : 483,137.16 = 483,137.16 : x
  2. Step 2: Convert to fraction form
    223,844.13/483,137.16 = 483,137.16/x
  3. Step 3: Cross multiply
    223,844.13x = 483,137.16 × 483,137.16
  4. Step 4: Simplify right side
    223,844.13x = 233,421,511,749.34
  5. Step 5: Solve for x
    x = 233,421,511,749.34/223,844.13
  6. Step 6: Final answer
    x = 1,042,785.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.