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Finding the Third Proportional to 193,233.75 and 425,712

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Solution

The third proportional to 193,233.75 and 425,712 is: 937,883.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,233.75 : 425,712 = 425,712 : x
  2. Step 2: Convert to fraction form
    193,233.75/425,712 = 425,712/x
  3. Step 3: Cross multiply
    193,233.75x = 425,712 × 425,712
  4. Step 4: Simplify right side
    193,233.75x = 181,230,706,944
  5. Step 5: Solve for x
    x = 181,230,706,944/193,233.75
  6. Step 6: Final answer
    x = 937,883.30

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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.