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Finding the Third Proportional to 145,812 and 225,180

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Solution

The third proportional to 145,812 and 225,180 is: 347,749.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,812 : 225,180 = 225,180 : x
  2. Step 2: Convert to fraction form
    145,812/225,180 = 225,180/x
  3. Step 3: Cross multiply
    145,812x = 225,180 × 225,180
  4. Step 4: Simplify right side
    145,812x = 50,706,032,400
  5. Step 5: Solve for x
    x = 50,706,032,400/145,812
  6. Step 6: Final answer
    x = 347,749.38

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.