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Finding the Third Proportional to 133,024.25 and 199,530.38

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Solution

The third proportional to 133,024.25 and 199,530.38 is: 299,286.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,024.25 : 199,530.38 = 199,530.38 : x
  2. Step 2: Convert to fraction form
    133,024.25/199,530.38 = 199,530.38/x
  3. Step 3: Cross multiply
    133,024.25x = 199,530.38 × 199,530.38
  4. Step 4: Simplify right side
    133,024.25x = 39,812,370,547.64
  5. Step 5: Solve for x
    x = 39,812,370,547.64/133,024.25
  6. Step 6: Final answer
    x = 299,286.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.