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Finding the Third Proportional to 174,904.50 and 270,086.63

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Solution

The third proportional to 174,904.50 and 270,086.63 is: 417,066.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,904.50 : 270,086.63 = 270,086.63 : x
  2. Step 2: Convert to fraction form
    174,904.50/270,086.63 = 270,086.63/x
  3. Step 3: Cross multiply
    174,904.50x = 270,086.63 × 270,086.63
  4. Step 4: Simplify right side
    174,904.50x = 72,946,785,003.89
  5. Step 5: Solve for x
    x = 72,946,785,003.89/174,904.50
  6. Step 6: Final answer
    x = 417,066.37

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.