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Finding the Third Proportional to 188,632.13 and 405,354.38

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Solution

The third proportional to 188,632.13 and 405,354.38 is: 871,072.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,632.13 : 405,354.38 = 405,354.38 : x
  2. Step 2: Convert to fraction form
    188,632.13/405,354.38 = 405,354.38/x
  3. Step 3: Cross multiply
    188,632.13x = 405,354.38 × 405,354.38
  4. Step 4: Simplify right side
    188,632.13x = 164,312,169,331.64
  5. Step 5: Solve for x
    x = 164,312,169,331.64/188,632.13
  6. Step 6: Final answer
    x = 871,072.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.