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Finding the Third Proportional to 188,191.50 and 405,934.50

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Solution

The third proportional to 188,191.50 and 405,934.50 is: 875,612.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,191.50 : 405,934.50 = 405,934.50 : x
  2. Step 2: Convert to fraction form
    188,191.50/405,934.50 = 405,934.50/x
  3. Step 3: Cross multiply
    188,191.50x = 405,934.50 × 405,934.50
  4. Step 4: Simplify right side
    188,191.50x = 164,782,818,290.25
  5. Step 5: Solve for x
    x = 164,782,818,290.25/188,191.50
  6. Step 6: Final answer
    x = 875,612.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.