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Finding the Third Proportional to 74,344.50 and 153,837

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Solution

The third proportional to 74,344.50 and 153,837 is: 318,326.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,344.50 : 153,837 = 153,837 : x
  2. Step 2: Convert to fraction form
    74,344.50/153,837 = 153,837/x
  3. Step 3: Cross multiply
    74,344.50x = 153,837 × 153,837
  4. Step 4: Simplify right side
    74,344.50x = 23,665,822,569
  5. Step 5: Solve for x
    x = 23,665,822,569/74,344.50
  6. Step 6: Final answer
    x = 318,326.47

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.