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Finding the Third Proportional to 176,049 and 380,157

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Solution

The third proportional to 176,049 and 380,157 is: 820,904.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,049 : 380,157 = 380,157 : x
  2. Step 2: Convert to fraction form
    176,049/380,157 = 380,157/x
  3. Step 3: Cross multiply
    176,049x = 380,157 × 380,157
  4. Step 4: Simplify right side
    176,049x = 144,519,344,649
  5. Step 5: Solve for x
    x = 144,519,344,649/176,049
  6. Step 6: Final answer
    x = 820,904.09

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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.