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Finding the Third Proportional to 188,218.69 and 413,753.06

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Solution

The third proportional to 188,218.69 and 413,753.06 is: 909,535.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,218.69 : 413,753.06 = 413,753.06 : x
  2. Step 2: Convert to fraction form
    188,218.69/413,753.06 = 413,753.06/x
  3. Step 3: Cross multiply
    188,218.69x = 413,753.06 × 413,753.06
  4. Step 4: Simplify right side
    188,218.69x = 171,191,596,728.13
  5. Step 5: Solve for x
    x = 171,191,596,728.13/188,218.69
  6. Step 6: Final answer
    x = 909,535.60

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.