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Finding the Third Proportional to 227,659.50 and 328,902

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Solution

The third proportional to 227,659.50 and 328,902 is: 475,168.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,659.50 : 328,902 = 328,902 : x
  2. Step 2: Convert to fraction form
    227,659.50/328,902 = 328,902/x
  3. Step 3: Cross multiply
    227,659.50x = 328,902 × 328,902
  4. Step 4: Simplify right side
    227,659.50x = 108,176,525,604
  5. Step 5: Solve for x
    x = 108,176,525,604/227,659.50
  6. Step 6: Final answer
    x = 475,168.07

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.