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Finding the Third Proportional to 187,152.75 and 405,834.75

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Solution

The third proportional to 187,152.75 and 405,834.75 is: 880,039.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,152.75 : 405,834.75 = 405,834.75 : x
  2. Step 2: Convert to fraction form
    187,152.75/405,834.75 = 405,834.75/x
  3. Step 3: Cross multiply
    187,152.75x = 405,834.75 × 405,834.75
  4. Step 4: Simplify right side
    187,152.75x = 164,701,844,307.56
  5. Step 5: Solve for x
    x = 164,701,844,307.56/187,152.75
  6. Step 6: Final answer
    x = 880,039.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.