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Finding the Third Proportional to 342,150.50 and 500,225

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Solution

The third proportional to 342,150.50 and 500,225 is: 731,330.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,150.50 : 500,225 = 500,225 : x
  2. Step 2: Convert to fraction form
    342,150.50/500,225 = 500,225/x
  3. Step 3: Cross multiply
    342,150.50x = 500,225 × 500,225
  4. Step 4: Simplify right side
    342,150.50x = 250,225,050,625
  5. Step 5: Solve for x
    x = 250,225,050,625/342,150.50
  6. Step 6: Final answer
    x = 731,330.37

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.