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Finding the Third Proportional to 322,357.50 and 350,002.50

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Solution

The third proportional to 322,357.50 and 350,002.50 is: 380,018.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,357.50 : 350,002.50 = 350,002.50 : x
  2. Step 2: Convert to fraction form
    322,357.50/350,002.50 = 350,002.50/x
  3. Step 3: Cross multiply
    322,357.50x = 350,002.50 × 350,002.50
  4. Step 4: Simplify right side
    322,357.50x = 122,501,750,006.25
  5. Step 5: Solve for x
    x = 122,501,750,006.25/322,357.50
  6. Step 6: Final answer
    x = 380,018.30

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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.