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Finding the Third Proportional to 175,225.50 and 274,515

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Solution

The third proportional to 175,225.50 and 274,515 is: 430,065.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,225.50 : 274,515 = 274,515 : x
  2. Step 2: Convert to fraction form
    175,225.50/274,515 = 274,515/x
  3. Step 3: Cross multiply
    175,225.50x = 274,515 × 274,515
  4. Step 4: Simplify right side
    175,225.50x = 75,358,485,225
  5. Step 5: Solve for x
    x = 75,358,485,225/175,225.50
  6. Step 6: Final answer
    x = 430,065.75

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.