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Finding the Third Proportional to 136,040.63 and 295,383.94

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Solution

The third proportional to 136,040.63 and 295,383.94 is: 641,364.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,040.63 : 295,383.94 = 295,383.94 : x
  2. Step 2: Convert to fraction form
    136,040.63/295,383.94 = 295,383.94/x
  3. Step 3: Cross multiply
    136,040.63x = 295,383.94 × 295,383.94
  4. Step 4: Simplify right side
    136,040.63x = 87,251,670,533.00
  5. Step 5: Solve for x
    x = 87,251,670,533.00/136,040.63
  6. Step 6: Final answer
    x = 641,364.82

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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.