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Finding the Third Proportional to 242,180 and 332,447.25

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Solution

The third proportional to 242,180 and 332,447.25 is: 456,359.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,180 : 332,447.25 = 332,447.25 : x
  2. Step 2: Convert to fraction form
    242,180/332,447.25 = 332,447.25/x
  3. Step 3: Cross multiply
    242,180x = 332,447.25 × 332,447.25
  4. Step 4: Simplify right side
    242,180x = 110,521,174,032.56
  5. Step 5: Solve for x
    x = 110,521,174,032.56/242,180
  6. Step 6: Final answer
    x = 456,359.63

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1.5x scale

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.