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Finding the Third Proportional to 181,242.75 and 388,725

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Solution

The third proportional to 181,242.75 and 388,725 is: 833,727.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,242.75 : 388,725 = 388,725 : x
  2. Step 2: Convert to fraction form
    181,242.75/388,725 = 388,725/x
  3. Step 3: Cross multiply
    181,242.75x = 388,725 × 388,725
  4. Step 4: Simplify right side
    181,242.75x = 151,107,125,625
  5. Step 5: Solve for x
    x = 151,107,125,625/181,242.75
  6. Step 6: Final answer
    x = 833,727.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.