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Finding the Third Proportional to 133,086.80 and 288,305.58

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Solution

The third proportional to 133,086.80 and 288,305.58 is: 624,555.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,086.80 : 288,305.58 = 288,305.58 : x
  2. Step 2: Convert to fraction form
    133,086.80/288,305.58 = 288,305.58/x
  3. Step 3: Cross multiply
    133,086.80x = 288,305.58 × 288,305.58
  4. Step 4: Simplify right side
    133,086.80x = 83,120,106,377.99
  5. Step 5: Solve for x
    x = 83,120,106,377.99/133,086.80
  6. Step 6: Final answer
    x = 624,555.62

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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.