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Finding the Third Proportional to 191,522 and 388,516

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Solution

The third proportional to 191,522 and 388,516 is: 788,132.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,522 : 388,516 = 388,516 : x
  2. Step 2: Convert to fraction form
    191,522/388,516 = 388,516/x
  3. Step 3: Cross multiply
    191,522x = 388,516 × 388,516
  4. Step 4: Simplify right side
    191,522x = 150,944,682,256
  5. Step 5: Solve for x
    x = 150,944,682,256/191,522
  6. Step 6: Final answer
    x = 788,132.34

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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.