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Finding the Third Proportional to 218,903.63 and 475,173

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Solution

The third proportional to 218,903.63 and 475,173 is: 1,031,455.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,903.63 : 475,173 = 475,173 : x
  2. Step 2: Convert to fraction form
    218,903.63/475,173 = 475,173/x
  3. Step 3: Cross multiply
    218,903.63x = 475,173 × 475,173
  4. Step 4: Simplify right side
    218,903.63x = 225,789,379,929
  5. Step 5: Solve for x
    x = 225,789,379,929/218,903.63
  6. Step 6: Final answer
    x = 1,031,455.65

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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.