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Finding the Third Proportional to 169,039.41 and 241,710.96

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Solution

The third proportional to 169,039.41 and 241,710.96 is: 345,624.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,039.41 : 241,710.96 = 241,710.96 : x
  2. Step 2: Convert to fraction form
    169,039.41/241,710.96 = 241,710.96/x
  3. Step 3: Cross multiply
    169,039.41x = 241,710.96 × 241,710.96
  4. Step 4: Simplify right side
    169,039.41x = 58,424,188,637.33
  5. Step 5: Solve for x
    x = 58,424,188,637.33/169,039.41
  6. Step 6: Final answer
    x = 345,624.67

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Why These Related Problems?

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