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Finding the Third Proportional to 152,682 and 333,650.25

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Solution

The third proportional to 152,682 and 333,650.25 is: 729,113.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,682 : 333,650.25 = 333,650.25 : x
  2. Step 2: Convert to fraction form
    152,682/333,650.25 = 333,650.25/x
  3. Step 3: Cross multiply
    152,682x = 333,650.25 × 333,650.25
  4. Step 4: Simplify right side
    152,682x = 111,322,489,325.06
  5. Step 5: Solve for x
    x = 111,322,489,325.06/152,682
  6. Step 6: Final answer
    x = 729,113.38

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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.