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Finding the Third Proportional to 193,000.50 and 425,265

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Solution

The third proportional to 193,000.50 and 425,265 is: 937,045.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,000.50 : 425,265 = 425,265 : x
  2. Step 2: Convert to fraction form
    193,000.50/425,265 = 425,265/x
  3. Step 3: Cross multiply
    193,000.50x = 425,265 × 425,265
  4. Step 4: Simplify right side
    193,000.50x = 180,850,320,225
  5. Step 5: Solve for x
    x = 180,850,320,225/193,000.50
  6. Step 6: Final answer
    x = 937,045.86

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.