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Finding the Third Proportional to 151,914 and 332,433

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Solution

The third proportional to 151,914 and 332,433 is: 727,462.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,914 : 332,433 = 332,433 : x
  2. Step 2: Convert to fraction form
    151,914/332,433 = 332,433/x
  3. Step 3: Cross multiply
    151,914x = 332,433 × 332,433
  4. Step 4: Simplify right side
    151,914x = 110,511,699,489
  5. Step 5: Solve for x
    x = 110,511,699,489/151,914
  6. Step 6: Final answer
    x = 727,462.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.