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Finding the Third Proportional to 151,689 and 329,852

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Solution

The third proportional to 151,689 and 329,852 is: 717,272.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,689 : 329,852 = 329,852 : x
  2. Step 2: Convert to fraction form
    151,689/329,852 = 329,852/x
  3. Step 3: Cross multiply
    151,689x = 329,852 × 329,852
  4. Step 4: Simplify right side
    151,689x = 108,802,341,904
  5. Step 5: Solve for x
    x = 108,802,341,904/151,689
  6. Step 6: Final answer
    x = 717,272.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.