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Finding the Third Proportional to 223,230 and 468,256

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Solution

The third proportional to 223,230 and 468,256 is: 982,232.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,230 : 468,256 = 468,256 : x
  2. Step 2: Convert to fraction form
    223,230/468,256 = 468,256/x
  3. Step 3: Cross multiply
    223,230x = 468,256 × 468,256
  4. Step 4: Simplify right side
    223,230x = 219,263,681,536
  5. Step 5: Solve for x
    x = 219,263,681,536/223,230
  6. Step 6: Final answer
    x = 982,232.14

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.