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Finding the Third Proportional to 151,374.75 and 332,271

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Solution

The third proportional to 151,374.75 and 332,271 is: 729,342.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,374.75 : 332,271 = 332,271 : x
  2. Step 2: Convert to fraction form
    151,374.75/332,271 = 332,271/x
  3. Step 3: Cross multiply
    151,374.75x = 332,271 × 332,271
  4. Step 4: Simplify right side
    151,374.75x = 110,404,017,441
  5. Step 5: Solve for x
    x = 110,404,017,441/151,374.75
  6. Step 6: Final answer
    x = 729,342.36

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.