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Finding the Third Proportional to 223,896 and 310,322

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Solution

The third proportional to 223,896 and 310,322 is: 430,109.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,896 : 310,322 = 310,322 : x
  2. Step 2: Convert to fraction form
    223,896/310,322 = 310,322/x
  3. Step 3: Cross multiply
    223,896x = 310,322 × 310,322
  4. Step 4: Simplify right side
    223,896x = 96,299,743,684
  5. Step 5: Solve for x
    x = 96,299,743,684/223,896
  6. Step 6: Final answer
    x = 430,109.26

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.