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Finding the Third Proportional to 74,232 and 154,584

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Solution

The third proportional to 74,232 and 154,584 is: 321,912.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,232 : 154,584 = 154,584 : x
  2. Step 2: Convert to fraction form
    74,232/154,584 = 154,584/x
  3. Step 3: Cross multiply
    74,232x = 154,584 × 154,584
  4. Step 4: Simplify right side
    74,232x = 23,896,213,056
  5. Step 5: Solve for x
    x = 23,896,213,056/74,232
  6. Step 6: Final answer
    x = 321,912.56

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.