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Finding the Third Proportional to 169,040.50 and 241,712.50

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Solution

The third proportional to 169,040.50 and 241,712.50 is: 345,626.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,040.50 : 241,712.50 = 241,712.50 : x
  2. Step 2: Convert to fraction form
    169,040.50/241,712.50 = 241,712.50/x
  3. Step 3: Cross multiply
    169,040.50x = 241,712.50 × 241,712.50
  4. Step 4: Simplify right side
    169,040.50x = 58,424,932,656.25
  5. Step 5: Solve for x
    x = 58,424,932,656.25/169,040.50
  6. Step 6: Final answer
    x = 345,626.83

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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.