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Finding the Third Proportional to 250,228.13 and 550,270.13

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Solution

The third proportional to 250,228.13 and 550,270.13 is: 1,210,084.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,228.13 : 550,270.13 = 550,270.13 : x
  2. Step 2: Convert to fraction form
    250,228.13/550,270.13 = 550,270.13/x
  3. Step 3: Cross multiply
    250,228.13x = 550,270.13 × 550,270.13
  4. Step 4: Simplify right side
    250,228.13x = 302,797,210,467.52
  5. Step 5: Solve for x
    x = 302,797,210,467.52/250,228.13
  6. Step 6: Final answer
    x = 1,210,084.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.