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Finding the Third Proportional to 223,228 and 468,252

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Solution

The third proportional to 223,228 and 468,252 is: 982,224.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,228 : 468,252 = 468,252 : x
  2. Step 2: Convert to fraction form
    223,228/468,252 = 468,252/x
  3. Step 3: Cross multiply
    223,228x = 468,252 × 468,252
  4. Step 4: Simplify right side
    223,228x = 219,259,935,504
  5. Step 5: Solve for x
    x = 219,259,935,504/223,228
  6. Step 6: Final answer
    x = 982,224.16

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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.