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Finding the Third Proportional to 223,564 and 338,232

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Solution

The third proportional to 223,564 and 338,232 is: 511,714.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,564 : 338,232 = 338,232 : x
  2. Step 2: Convert to fraction form
    223,564/338,232 = 338,232/x
  3. Step 3: Cross multiply
    223,564x = 338,232 × 338,232
  4. Step 4: Simplify right side
    223,564x = 114,400,885,824
  5. Step 5: Solve for x
    x = 114,400,885,824/223,564
  6. Step 6: Final answer
    x = 511,714.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.