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Finding the Third Proportional to 193,782.38 and 411,024.38

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Solution

The third proportional to 193,782.38 and 411,024.38 is: 871,808.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,782.38 : 411,024.38 = 411,024.38 : x
  2. Step 2: Convert to fraction form
    193,782.38/411,024.38 = 411,024.38/x
  3. Step 3: Cross multiply
    193,782.38x = 411,024.38 × 411,024.38
  4. Step 4: Simplify right side
    193,782.38x = 168,941,036,844.14
  5. Step 5: Solve for x
    x = 168,941,036,844.14/193,782.38
  6. Step 6: Final answer
    x = 871,808.06

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.