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Finding the Third Proportional to 174,921.19 and 374,717.81

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Solution

The third proportional to 174,921.19 and 374,717.81 is: 802,724.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,921.19 : 374,717.81 = 374,717.81 : x
  2. Step 2: Convert to fraction form
    174,921.19/374,717.81 = 374,717.81/x
  3. Step 3: Cross multiply
    174,921.19x = 374,717.81 × 374,717.81
  4. Step 4: Simplify right side
    174,921.19x = 140,413,439,004.79
  5. Step 5: Solve for x
    x = 140,413,439,004.79/174,921.19
  6. Step 6: Final answer
    x = 802,724.02

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.