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Finding the Third Proportional to 172,139.81 and 372,865.69

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Solution

The third proportional to 172,139.81 and 372,865.69 is: 807,650.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,139.81 : 372,865.69 = 372,865.69 : x
  2. Step 2: Convert to fraction form
    172,139.81/372,865.69 = 372,865.69/x
  3. Step 3: Cross multiply
    172,139.81x = 372,865.69 × 372,865.69
  4. Step 4: Simplify right side
    172,139.81x = 139,028,820,914.85
  5. Step 5: Solve for x
    x = 139,028,820,914.85/172,139.81
  6. Step 6: Final answer
    x = 807,650.59

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.