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Finding the Third Proportional to 234,009 and 353,079

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Solution

The third proportional to 234,009 and 353,079 is: 532,734.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,009 : 353,079 = 353,079 : x
  2. Step 2: Convert to fraction form
    234,009/353,079 = 353,079/x
  3. Step 3: Cross multiply
    234,009x = 353,079 × 353,079
  4. Step 4: Simplify right side
    234,009x = 124,664,780,241
  5. Step 5: Solve for x
    x = 124,664,780,241/234,009
  6. Step 6: Final answer
    x = 532,734.98

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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.