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Finding the Third Proportional to 193,003 and 425,270

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Solution

The third proportional to 193,003 and 425,270 is: 937,055.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,003 : 425,270 = 425,270 : x
  2. Step 2: Convert to fraction form
    193,003/425,270 = 425,270/x
  3. Step 3: Cross multiply
    193,003x = 425,270 × 425,270
  4. Step 4: Simplify right side
    193,003x = 180,854,572,900
  5. Step 5: Solve for x
    x = 180,854,572,900/193,003
  6. Step 6: Final answer
    x = 937,055.76

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