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Finding the Third Proportional to 242,169.75 and 332,434.13

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Solution

The third proportional to 242,169.75 and 332,434.13 is: 456,342.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,169.75 : 332,434.13 = 332,434.13 : x
  2. Step 2: Convert to fraction form
    242,169.75/332,434.13 = 332,434.13/x
  3. Step 3: Cross multiply
    242,169.75x = 332,434.13 × 332,434.13
  4. Step 4: Simplify right side
    242,169.75x = 110,512,447,464.52
  5. Step 5: Solve for x
    x = 110,512,447,464.52/242,169.75
  6. Step 6: Final answer
    x = 456,342.91

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.