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Finding the Third Proportional to 258,183 and 371,857.50

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Solution

The third proportional to 258,183 and 371,857.50 is: 535,581.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,183 : 371,857.50 = 371,857.50 : x
  2. Step 2: Convert to fraction form
    258,183/371,857.50 = 371,857.50/x
  3. Step 3: Cross multiply
    258,183x = 371,857.50 × 371,857.50
  4. Step 4: Simplify right side
    258,183x = 138,278,000,306.25
  5. Step 5: Solve for x
    x = 138,278,000,306.25/258,183
  6. Step 6: Final answer
    x = 535,581.35

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.