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Finding the Third Proportional to 173,729.81 and 380,674.69

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Solution

The third proportional to 173,729.81 and 380,674.69 is: 834,129.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,729.81 : 380,674.69 = 380,674.69 : x
  2. Step 2: Convert to fraction form
    173,729.81/380,674.69 = 380,674.69/x
  3. Step 3: Cross multiply
    173,729.81x = 380,674.69 × 380,674.69
  4. Step 4: Simplify right side
    173,729.81x = 144,913,217,703.22
  5. Step 5: Solve for x
    x = 144,913,217,703.22/173,729.81
  6. Step 6: Final answer
    x = 834,129.82

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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.