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Finding the Third Proportional to 225,827.06 and 330,260.25

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Solution

The third proportional to 225,827.06 and 330,260.25 is: 482,988.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,827.06 : 330,260.25 = 330,260.25 : x
  2. Step 2: Convert to fraction form
    225,827.06/330,260.25 = 330,260.25/x
  3. Step 3: Cross multiply
    225,827.06x = 330,260.25 × 330,260.25
  4. Step 4: Simplify right side
    225,827.06x = 109,071,832,730.06
  5. Step 5: Solve for x
    x = 109,071,832,730.06/225,827.06
  6. Step 6: Final answer
    x = 482,988.32

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.