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Finding the Third Proportional to 152,682.75 and 333,651.75

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Solution

The third proportional to 152,682.75 and 333,651.75 is: 729,116.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,682.75 : 333,651.75 = 333,651.75 : x
  2. Step 2: Convert to fraction form
    152,682.75/333,651.75 = 333,651.75/x
  3. Step 3: Cross multiply
    152,682.75x = 333,651.75 × 333,651.75
  4. Step 4: Simplify right side
    152,682.75x = 111,323,490,278.06
  5. Step 5: Solve for x
    x = 111,323,490,278.06/152,682.75
  6. Step 6: Final answer
    x = 729,116.36

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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.