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Finding the Third Proportional to 74,269.50 and 154,658.50

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Solution

The third proportional to 74,269.50 and 154,658.50 is: 322,060.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,269.50 : 154,658.50 = 154,658.50 : x
  2. Step 2: Convert to fraction form
    74,269.50/154,658.50 = 154,658.50/x
  3. Step 3: Cross multiply
    74,269.50x = 154,658.50 × 154,658.50
  4. Step 4: Simplify right side
    74,269.50x = 23,919,251,622.25
  5. Step 5: Solve for x
    x = 23,919,251,622.25/74,269.50
  6. Step 6: Final answer
    x = 322,060.22

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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.