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Finding the Third Proportional to 133,031.11 and 288,205.59

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Solution

The third proportional to 133,031.11 and 288,205.59 is: 624,383.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,031.11 : 288,205.59 = 288,205.59 : x
  2. Step 2: Convert to fraction form
    133,031.11/288,205.59 = 288,205.59/x
  3. Step 3: Cross multiply
    133,031.11x = 288,205.59 × 288,205.59
  4. Step 4: Simplify right side
    133,031.11x = 83,062,464,268.79
  5. Step 5: Solve for x
    x = 83,062,464,268.79/133,031.11
  6. Step 6: Final answer
    x = 624,383.76

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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.