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Finding the Third Proportional to 152,226 and 326,896.88

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Solution

The third proportional to 152,226 and 326,896.88 is: 701,992.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,226 : 326,896.88 = 326,896.88 : x
  2. Step 2: Convert to fraction form
    152,226/326,896.88 = 326,896.88/x
  3. Step 3: Cross multiply
    152,226x = 326,896.88 × 326,896.88
  4. Step 4: Simplify right side
    152,226x = 106,861,566,884.77
  5. Step 5: Solve for x
    x = 106,861,566,884.77/152,226
  6. Step 6: Final answer
    x = 701,992.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.