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Finding the Third Proportional to 235,027 and 353,062

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Solution

The third proportional to 235,027 and 353,062 is: 530,376.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,027 : 353,062 = 353,062 : x
  2. Step 2: Convert to fraction form
    235,027/353,062 = 353,062/x
  3. Step 3: Cross multiply
    235,027x = 353,062 × 353,062
  4. Step 4: Simplify right side
    235,027x = 124,652,775,844
  5. Step 5: Solve for x
    x = 124,652,775,844/235,027
  6. Step 6: Final answer
    x = 530,376.41

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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.