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Finding the Third Proportional to 158,517 and 330,125.63

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Solution

The third proportional to 158,517 and 330,125.63 is: 687,515.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,517 : 330,125.63 = 330,125.63 : x
  2. Step 2: Convert to fraction form
    158,517/330,125.63 = 330,125.63/x
  3. Step 3: Cross multiply
    158,517x = 330,125.63 × 330,125.63
  4. Step 4: Simplify right side
    158,517x = 108,982,928,281.64
  5. Step 5: Solve for x
    x = 108,982,928,281.64/158,517
  6. Step 6: Final answer
    x = 687,515.71

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.