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Finding the Third Proportional to 176,106.66 and 380,350.69

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Solution

The third proportional to 176,106.66 and 380,350.69 is: 821,471.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,106.66 : 380,350.69 = 380,350.69 : x
  2. Step 2: Convert to fraction form
    176,106.66/380,350.69 = 380,350.69/x
  3. Step 3: Cross multiply
    176,106.66x = 380,350.69 × 380,350.69
  4. Step 4: Simplify right side
    176,106.66x = 144,666,645,481.72
  5. Step 5: Solve for x
    x = 144,666,645,481.72/176,106.66
  6. Step 6: Final answer
    x = 821,471.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.