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Finding the Third Proportional to 133,026.75 and 210,606.75

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Solution

The third proportional to 133,026.75 and 210,606.75 is: 333,430.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,026.75 : 210,606.75 = 210,606.75 : x
  2. Step 2: Convert to fraction form
    133,026.75/210,606.75 = 210,606.75/x
  3. Step 3: Cross multiply
    133,026.75x = 210,606.75 × 210,606.75
  4. Step 4: Simplify right side
    133,026.75x = 44,355,203,145.56
  5. Step 5: Solve for x
    x = 44,355,203,145.56/133,026.75
  6. Step 6: Final answer
    x = 333,430.71

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.