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Finding the Third Proportional to 175,176.75 and 381,108

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Solution

The third proportional to 175,176.75 and 381,108 is: 829,124.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,176.75 : 381,108 = 381,108 : x
  2. Step 2: Convert to fraction form
    175,176.75/381,108 = 381,108/x
  3. Step 3: Cross multiply
    175,176.75x = 381,108 × 381,108
  4. Step 4: Simplify right side
    175,176.75x = 145,243,307,664
  5. Step 5: Solve for x
    x = 145,243,307,664/175,176.75
  6. Step 6: Final answer
    x = 829,124.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.