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Finding the Third Proportional to 151,797 and 332,754

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Solution

The third proportional to 151,797 and 332,754 is: 729,429.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,797 : 332,754 = 332,754 : x
  2. Step 2: Convert to fraction form
    151,797/332,754 = 332,754/x
  3. Step 3: Cross multiply
    151,797x = 332,754 × 332,754
  4. Step 4: Simplify right side
    151,797x = 110,725,224,516
  5. Step 5: Solve for x
    x = 110,725,224,516/151,797
  6. Step 6: Final answer
    x = 729,429.60

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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.