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Finding the Third Proportional to 191,526 and 388,524

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Solution

The third proportional to 191,526 and 388,524 is: 788,148.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,526 : 388,524 = 388,524 : x
  2. Step 2: Convert to fraction form
    191,526/388,524 = 388,524/x
  3. Step 3: Cross multiply
    191,526x = 388,524 × 388,524
  4. Step 4: Simplify right side
    191,526x = 150,950,898,576
  5. Step 5: Solve for x
    x = 150,950,898,576/191,526
  6. Step 6: Final answer
    x = 788,148.34

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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.