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Finding the Third Proportional to 159,264 and 223,232

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Solution

The third proportional to 159,264 and 223,232 is: 312,892.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,264 : 223,232 = 223,232 : x
  2. Step 2: Convert to fraction form
    159,264/223,232 = 223,232/x
  3. Step 3: Cross multiply
    159,264x = 223,232 × 223,232
  4. Step 4: Simplify right side
    159,264x = 49,832,525,824
  5. Step 5: Solve for x
    x = 49,832,525,824/159,264
  6. Step 6: Final answer
    x = 312,892.59

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.