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Finding the Third Proportional to 165,471.19 and 361,287.84

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Solution

The third proportional to 165,471.19 and 361,287.84 is: 788,831.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,471.19 : 361,287.84 = 361,287.84 : x
  2. Step 2: Convert to fraction form
    165,471.19/361,287.84 = 361,287.84/x
  3. Step 3: Cross multiply
    165,471.19x = 361,287.84 × 361,287.84
  4. Step 4: Simplify right side
    165,471.19x = 130,528,906,041.52
  5. Step 5: Solve for x
    x = 130,528,906,041.52/165,471.19
  6. Step 6: Final answer
    x = 788,831.63

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.