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Finding the Third Proportional to 199,406.81 and 295,979.06

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Solution

The third proportional to 199,406.81 and 295,979.06 is: 439,321.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,406.81 : 295,979.06 = 295,979.06 : x
  2. Step 2: Convert to fraction form
    199,406.81/295,979.06 = 295,979.06/x
  3. Step 3: Cross multiply
    199,406.81x = 295,979.06 × 295,979.06
  4. Step 4: Simplify right side
    199,406.81x = 87,603,605,438.38
  5. Step 5: Solve for x
    x = 87,603,605,438.38/199,406.81
  6. Step 6: Final answer
    x = 439,321.03

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.