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Finding the Third Proportional to 236,852 and 354,558

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Solution

The third proportional to 236,852 and 354,558 is: 530,759.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,852 : 354,558 = 354,558 : x
  2. Step 2: Convert to fraction form
    236,852/354,558 = 354,558/x
  3. Step 3: Cross multiply
    236,852x = 354,558 × 354,558
  4. Step 4: Simplify right side
    236,852x = 125,711,375,364
  5. Step 5: Solve for x
    x = 125,711,375,364/236,852
  6. Step 6: Final answer
    x = 530,759.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.