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Finding the Third Proportional to 169,041.75 and 241,713.75

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Solution

The third proportional to 169,041.75 and 241,713.75 is: 345,627.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,041.75 : 241,713.75 = 241,713.75 : x
  2. Step 2: Convert to fraction form
    169,041.75/241,713.75 = 241,713.75/x
  3. Step 3: Cross multiply
    169,041.75x = 241,713.75 × 241,713.75
  4. Step 4: Simplify right side
    169,041.75x = 58,425,536,939.06
  5. Step 5: Solve for x
    x = 58,425,536,939.06/169,041.75
  6. Step 6: Final answer
    x = 345,627.85

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.