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Finding the Third Proportional to 188,091 and 263,623.50

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Solution

The third proportional to 188,091 and 263,623.50 is: 369,487.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,091 : 263,623.50 = 263,623.50 : x
  2. Step 2: Convert to fraction form
    188,091/263,623.50 = 263,623.50/x
  3. Step 3: Cross multiply
    188,091x = 263,623.50 × 263,623.50
  4. Step 4: Simplify right side
    188,091x = 69,497,349,752.25
  5. Step 5: Solve for x
    x = 69,497,349,752.25/188,091
  6. Step 6: Final answer
    x = 369,487.91

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.