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Finding the Third Proportional to 147,782 and 223,225

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Solution

The third proportional to 147,782 and 223,225 is: 337,181.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,782 : 223,225 = 223,225 : x
  2. Step 2: Convert to fraction form
    147,782/223,225 = 223,225/x
  3. Step 3: Cross multiply
    147,782x = 223,225 × 223,225
  4. Step 4: Simplify right side
    147,782x = 49,829,400,625
  5. Step 5: Solve for x
    x = 49,829,400,625/147,782
  6. Step 6: Final answer
    x = 337,181.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.