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Finding the Third Proportional to 257,956.88 and 371,553.75

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Solution

The third proportional to 257,956.88 and 371,553.75 is: 535,175.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,956.88 : 371,553.75 = 371,553.75 : x
  2. Step 2: Convert to fraction form
    257,956.88/371,553.75 = 371,553.75/x
  3. Step 3: Cross multiply
    257,956.88x = 371,553.75 × 371,553.75
  4. Step 4: Simplify right side
    257,956.88x = 138,052,189,139.06
  5. Step 5: Solve for x
    x = 138,052,189,139.06/257,956.88
  6. Step 6: Final answer
    x = 535,175.46

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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.