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Finding the Third Proportional to 322,357.13 and 350,002.13

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Solution

The third proportional to 322,357.13 and 350,002.13 is: 380,017.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,357.13 : 350,002.13 = 350,002.13 : x
  2. Step 2: Convert to fraction form
    322,357.13/350,002.13 = 350,002.13/x
  3. Step 3: Cross multiply
    322,357.13x = 350,002.13 × 350,002.13
  4. Step 4: Simplify right side
    322,357.13x = 122,501,487,504.52
  5. Step 5: Solve for x
    x = 122,501,487,504.52/322,357.13
  6. Step 6: Final answer
    x = 380,017.93

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.