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Finding the Third Proportional to 132,009.75 and 284,548.50

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Solution

The third proportional to 132,009.75 and 284,548.50 is: 613,347.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,009.75 : 284,548.50 = 284,548.50 : x
  2. Step 2: Convert to fraction form
    132,009.75/284,548.50 = 284,548.50/x
  3. Step 3: Cross multiply
    132,009.75x = 284,548.50 × 284,548.50
  4. Step 4: Simplify right side
    132,009.75x = 80,967,848,852.25
  5. Step 5: Solve for x
    x = 80,967,848,852.25/132,009.75
  6. Step 6: Final answer
    x = 613,347.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.