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Finding the Third Proportional to 191,533.50 and 388,539

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Solution

The third proportional to 191,533.50 and 388,539 is: 788,178.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,533.50 : 388,539 = 388,539 : x
  2. Step 2: Convert to fraction form
    191,533.50/388,539 = 388,539/x
  3. Step 3: Cross multiply
    191,533.50x = 388,539 × 388,539
  4. Step 4: Simplify right side
    191,533.50x = 150,962,554,521
  5. Step 5: Solve for x
    x = 150,962,554,521/191,533.50
  6. Step 6: Final answer
    x = 788,178.33

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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.