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Finding the Third Proportional to 151,056 and 352,800

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Solution

The third proportional to 151,056 and 352,800 is: 823,984.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,056 : 352,800 = 352,800 : x
  2. Step 2: Convert to fraction form
    151,056/352,800 = 352,800/x
  3. Step 3: Cross multiply
    151,056x = 352,800 × 352,800
  4. Step 4: Simplify right side
    151,056x = 124,467,840,000
  5. Step 5: Solve for x
    x = 124,467,840,000/151,056
  6. Step 6: Final answer
    x = 823,984.75

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.