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Finding the Third Proportional to 158,671.13 and 330,464.81

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Solution

The third proportional to 158,671.13 and 330,464.81 is: 688,260.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,671.13 : 330,464.81 = 330,464.81 : x
  2. Step 2: Convert to fraction form
    158,671.13/330,464.81 = 330,464.81/x
  3. Step 3: Cross multiply
    158,671.13x = 330,464.81 × 330,464.81
  4. Step 4: Simplify right side
    158,671.13x = 109,206,992,300.66
  5. Step 5: Solve for x
    x = 109,206,992,300.66/158,671.13
  6. Step 6: Final answer
    x = 688,260.02

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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.