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Finding the Third Proportional to 133,690.50 and 289,554.75

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Solution

The third proportional to 133,690.50 and 289,554.75 is: 627,134.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,690.50 : 289,554.75 = 289,554.75 : x
  2. Step 2: Convert to fraction form
    133,690.50/289,554.75 = 289,554.75/x
  3. Step 3: Cross multiply
    133,690.50x = 289,554.75 × 289,554.75
  4. Step 4: Simplify right side
    133,690.50x = 83,841,953,247.56
  5. Step 5: Solve for x
    x = 83,841,953,247.56/133,690.50
  6. Step 6: Final answer
    x = 627,134.71

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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.