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Finding the Third Proportional to 132,996.94 and 295,518.38

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Solution

The third proportional to 132,996.94 and 295,518.38 is: 656,640.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,996.94 : 295,518.38 = 295,518.38 : x
  2. Step 2: Convert to fraction form
    132,996.94/295,518.38 = 295,518.38/x
  3. Step 3: Cross multiply
    132,996.94x = 295,518.38 × 295,518.38
  4. Step 4: Simplify right side
    132,996.94x = 87,331,109,962.64
  5. Step 5: Solve for x
    x = 87,331,109,962.64/132,996.94
  6. Step 6: Final answer
    x = 656,640.01

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.