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Finding the Third Proportional to 135,661.50 and 294,669.56

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Solution

The third proportional to 135,661.50 and 294,669.56 is: 640,050.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,661.50 : 294,669.56 = 294,669.56 : x
  2. Step 2: Convert to fraction form
    135,661.50/294,669.56 = 294,669.56/x
  3. Step 3: Cross multiply
    135,661.50x = 294,669.56 × 294,669.56
  4. Step 4: Simplify right side
    135,661.50x = 86,830,151,063.94
  5. Step 5: Solve for x
    x = 86,830,151,063.94/135,661.50
  6. Step 6: Final answer
    x = 640,050.06

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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.