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Finding the Third Proportional to 223,994 and 346,824

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Solution

The third proportional to 223,994 and 346,824 is: 537,009.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,994 : 346,824 = 346,824 : x
  2. Step 2: Convert to fraction form
    223,994/346,824 = 346,824/x
  3. Step 3: Cross multiply
    223,994x = 346,824 × 346,824
  4. Step 4: Simplify right side
    223,994x = 120,286,886,976
  5. Step 5: Solve for x
    x = 120,286,886,976/223,994
  6. Step 6: Final answer
    x = 537,009.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.