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Finding the Third Proportional to 191,524.50 and 388,521

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Solution

The third proportional to 191,524.50 and 388,521 is: 788,142.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,524.50 : 388,521 = 388,521 : x
  2. Step 2: Convert to fraction form
    191,524.50/388,521 = 388,521/x
  3. Step 3: Cross multiply
    191,524.50x = 388,521 × 388,521
  4. Step 4: Simplify right side
    191,524.50x = 150,948,567,441
  5. Step 5: Solve for x
    x = 150,948,567,441/191,524.50
  6. Step 6: Final answer
    x = 788,142.34

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.