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Finding the Third Proportional to 150,484.50 and 355,218.75

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Solution

The third proportional to 150,484.50 and 355,218.75 is: 838,494.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,484.50 : 355,218.75 = 355,218.75 : x
  2. Step 2: Convert to fraction form
    150,484.50/355,218.75 = 355,218.75/x
  3. Step 3: Cross multiply
    150,484.50x = 355,218.75 × 355,218.75
  4. Step 4: Simplify right side
    150,484.50x = 126,180,360,351.56
  5. Step 5: Solve for x
    x = 126,180,360,351.56/150,484.50
  6. Step 6: Final answer
    x = 838,494.07

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.