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Finding the Third Proportional to 150,322.50 and 349,562.25

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Solution

The third proportional to 150,322.50 and 349,562.25 is: 812,877.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,322.50 : 349,562.25 = 349,562.25 : x
  2. Step 2: Convert to fraction form
    150,322.50/349,562.25 = 349,562.25/x
  3. Step 3: Cross multiply
    150,322.50x = 349,562.25 × 349,562.25
  4. Step 4: Simplify right side
    150,322.50x = 122,193,766,625.06
  5. Step 5: Solve for x
    x = 122,193,766,625.06/150,322.50
  6. Step 6: Final answer
    x = 812,877.42

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.