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Finding the Third Proportional to 175,035.94 and 383,956.88

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Solution

The third proportional to 175,035.94 and 383,956.88 is: 842,243.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,035.94 : 383,956.88 = 383,956.88 : x
  2. Step 2: Convert to fraction form
    175,035.94/383,956.88 = 383,956.88/x
  3. Step 3: Cross multiply
    175,035.94x = 383,956.88 × 383,956.88
  4. Step 4: Simplify right side
    175,035.94x = 147,422,881,859.77
  5. Step 5: Solve for x
    x = 147,422,881,859.77/175,035.94
  6. Step 6: Final answer
    x = 842,243.51

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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.