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Finding the Third Proportional to 174,760.50 and 382,230

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Solution

The third proportional to 174,760.50 and 382,230 is: 835,999.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,760.50 : 382,230 = 382,230 : x
  2. Step 2: Convert to fraction form
    174,760.50/382,230 = 382,230/x
  3. Step 3: Cross multiply
    174,760.50x = 382,230 × 382,230
  4. Step 4: Simplify right side
    174,760.50x = 146,099,772,900
  5. Step 5: Solve for x
    x = 146,099,772,900/174,760.50
  6. Step 6: Final answer
    x = 835,999.97

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.