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Finding the Third Proportional to 178,582.22 and 369,489.09

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Solution

The third proportional to 178,582.22 and 369,489.09 is: 764,478.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,582.22 : 369,489.09 = 369,489.09 : x
  2. Step 2: Convert to fraction form
    178,582.22/369,489.09 = 369,489.09/x
  3. Step 3: Cross multiply
    178,582.22x = 369,489.09 × 369,489.09
  4. Step 4: Simplify right side
    178,582.22x = 136,522,190,400.20
  5. Step 5: Solve for x
    x = 136,522,190,400.20/178,582.22
  6. Step 6: Final answer
    x = 764,478.07

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.