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Finding the Third Proportional to 120,616.50 and 177,416.44

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Solution

The third proportional to 120,616.50 and 177,416.44 is: 260,964.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,616.50 : 177,416.44 = 177,416.44 : x
  2. Step 2: Convert to fraction form
    120,616.50/177,416.44 = 177,416.44/x
  3. Step 3: Cross multiply
    120,616.50x = 177,416.44 × 177,416.44
  4. Step 4: Simplify right side
    120,616.50x = 31,476,592,295.19
  5. Step 5: Solve for x
    x = 31,476,592,295.19/120,616.50
  6. Step 6: Final answer
    x = 260,964.23

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.