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Finding the Third Proportional to 84,274.73 and 181,056.16

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Solution

The third proportional to 84,274.73 and 181,056.16 is: 388,981.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,274.73 : 181,056.16 = 181,056.16 : x
  2. Step 2: Convert to fraction form
    84,274.73/181,056.16 = 181,056.16/x
  3. Step 3: Cross multiply
    84,274.73x = 181,056.16 × 181,056.16
  4. Step 4: Simplify right side
    84,274.73x = 32,781,334,545.03
  5. Step 5: Solve for x
    x = 32,781,334,545.03/84,274.73
  6. Step 6: Final answer
    x = 388,981.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.