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Finding the Third Proportional to 179,983.27 and 388,827.84

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Solution

The third proportional to 179,983.27 and 388,827.84 is: 840,006.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,983.27 : 388,827.84 = 388,827.84 : x
  2. Step 2: Convert to fraction form
    179,983.27/388,827.84 = 388,827.84/x
  3. Step 3: Cross multiply
    179,983.27x = 388,827.84 × 388,827.84
  4. Step 4: Simplify right side
    179,983.27x = 151,187,092,075.27
  5. Step 5: Solve for x
    x = 151,187,092,075.27/179,983.27
  6. Step 6: Final answer
    x = 840,006.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.