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Finding the Third Proportional to 243,880.88 and 383,081.06

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Solution

The third proportional to 243,880.88 and 383,081.06 is: 601,732.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,880.88 : 383,081.06 = 383,081.06 : x
  2. Step 2: Convert to fraction form
    243,880.88/383,081.06 = 383,081.06/x
  3. Step 3: Cross multiply
    243,880.88x = 383,081.06 × 383,081.06
  4. Step 4: Simplify right side
    243,880.88x = 146,751,100,446.13
  5. Step 5: Solve for x
    x = 146,751,100,446.13/243,880.88
  6. Step 6: Final answer
    x = 601,732.71

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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.