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Finding the Third Proportional to 193,306.50 and 425,857.50

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Solution

The third proportional to 193,306.50 and 425,857.50 is: 938,171.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,306.50 : 425,857.50 = 425,857.50 : x
  2. Step 2: Convert to fraction form
    193,306.50/425,857.50 = 425,857.50/x
  3. Step 3: Cross multiply
    193,306.50x = 425,857.50 × 425,857.50
  4. Step 4: Simplify right side
    193,306.50x = 181,354,610,306.25
  5. Step 5: Solve for x
    x = 181,354,610,306.25/193,306.50
  6. Step 6: Final answer
    x = 938,171.30

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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.