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Finding the Third Proportional to 176,052 and 380,163

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Solution

The third proportional to 176,052 and 380,163 is: 820,916.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,052 : 380,163 = 380,163 : x
  2. Step 2: Convert to fraction form
    176,052/380,163 = 380,163/x
  3. Step 3: Cross multiply
    176,052x = 380,163 × 380,163
  4. Step 4: Simplify right side
    176,052x = 144,523,906,569
  5. Step 5: Solve for x
    x = 144,523,906,569/176,052
  6. Step 6: Final answer
    x = 820,916.02

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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.