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Finding the Third Proportional to 180,217.41 and 383,728.01

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Solution

The third proportional to 180,217.41 and 383,728.01 is: 817,053.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,217.41 : 383,728.01 = 383,728.01 : x
  2. Step 2: Convert to fraction form
    180,217.41/383,728.01 = 383,728.01/x
  3. Step 3: Cross multiply
    180,217.41x = 383,728.01 × 383,728.01
  4. Step 4: Simplify right side
    180,217.41x = 147,247,183,979.75
  5. Step 5: Solve for x
    x = 147,247,183,979.75/180,217.41
  6. Step 6: Final answer
    x = 817,053.06

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.