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Finding the Third Proportional to 181,666.13 and 397,828.13

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Solution

The third proportional to 181,666.13 and 397,828.13 is: 871,198.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,666.13 : 397,828.13 = 397,828.13 : x
  2. Step 2: Convert to fraction form
    181,666.13/397,828.13 = 397,828.13/x
  3. Step 3: Cross multiply
    181,666.13x = 397,828.13 × 397,828.13
  4. Step 4: Simplify right side
    181,666.13x = 158,267,217,041.02
  5. Step 5: Solve for x
    x = 158,267,217,041.02/181,666.13
  6. Step 6: Final answer
    x = 871,198.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.