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Finding the Third Proportional to 158,662 and 330,448

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Solution

The third proportional to 158,662 and 330,448 is: 688,229.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,662 : 330,448 = 330,448 : x
  2. Step 2: Convert to fraction form
    158,662/330,448 = 330,448/x
  3. Step 3: Cross multiply
    158,662x = 330,448 × 330,448
  4. Step 4: Simplify right side
    158,662x = 109,195,880,704
  5. Step 5: Solve for x
    x = 109,195,880,704/158,662
  6. Step 6: Final answer
    x = 688,229.57

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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.