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Finding the Third Proportional to 175,240.13 and 383,644.69

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Solution

The third proportional to 175,240.13 and 383,644.69 is: 839,894.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,240.13 : 383,644.69 = 383,644.69 : x
  2. Step 2: Convert to fraction form
    175,240.13/383,644.69 = 383,644.69/x
  3. Step 3: Cross multiply
    175,240.13x = 383,644.69 × 383,644.69
  4. Step 4: Simplify right side
    175,240.13x = 147,183,246,246.97
  5. Step 5: Solve for x
    x = 147,183,246,246.97/175,240.13
  6. Step 6: Final answer
    x = 839,894.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.