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Finding the Third Proportional to 133,067.81 and 288,284.06

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Solution

The third proportional to 133,067.81 and 288,284.06 is: 624,551.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,067.81 : 288,284.06 = 288,284.06 : x
  2. Step 2: Convert to fraction form
    133,067.81/288,284.06 = 288,284.06/x
  3. Step 3: Cross multiply
    133,067.81x = 288,284.06 × 288,284.06
  4. Step 4: Simplify right side
    133,067.81x = 83,107,700,691.50
  5. Step 5: Solve for x
    x = 83,107,700,691.50/133,067.81
  6. Step 6: Final answer
    x = 624,551.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.