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Finding the Third Proportional to 153,852 and 332,307

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Solution

The third proportional to 153,852 and 332,307 is: 717,754.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,852 : 332,307 = 332,307 : x
  2. Step 2: Convert to fraction form
    153,852/332,307 = 332,307/x
  3. Step 3: Cross multiply
    153,852x = 332,307 × 332,307
  4. Step 4: Simplify right side
    153,852x = 110,427,942,249
  5. Step 5: Solve for x
    x = 110,427,942,249/153,852
  6. Step 6: Final answer
    x = 717,754.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.