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Finding the Third Proportional to 133,300.69 and 289,225.69

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Solution

The third proportional to 133,300.69 and 289,225.69 is: 627,539.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,300.69 : 289,225.69 = 289,225.69 : x
  2. Step 2: Convert to fraction form
    133,300.69/289,225.69 = 289,225.69/x
  3. Step 3: Cross multiply
    133,300.69x = 289,225.69 × 289,225.69
  4. Step 4: Simplify right side
    133,300.69x = 83,651,498,309.85
  5. Step 5: Solve for x
    x = 83,651,498,309.85/133,300.69
  6. Step 6: Final answer
    x = 627,539.89

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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.