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Finding the Third Proportional to 180,224.50 and 383,743

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Solution

The third proportional to 180,224.50 and 383,743 is: 817,084.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,224.50 : 383,743 = 383,743 : x
  2. Step 2: Convert to fraction form
    180,224.50/383,743 = 383,743/x
  3. Step 3: Cross multiply
    180,224.50x = 383,743 × 383,743
  4. Step 4: Simplify right side
    180,224.50x = 147,258,690,049
  5. Step 5: Solve for x
    x = 147,258,690,049/180,224.50
  6. Step 6: Final answer
    x = 817,084.75

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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.