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Finding the Third Proportional to 145,494 and 218,441.25

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Solution

The third proportional to 145,494 and 218,441.25 is: 327,962.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,494 : 218,441.25 = 218,441.25 : x
  2. Step 2: Convert to fraction form
    145,494/218,441.25 = 218,441.25/x
  3. Step 3: Cross multiply
    145,494x = 218,441.25 × 218,441.25
  4. Step 4: Simplify right side
    145,494x = 47,716,579,701.56
  5. Step 5: Solve for x
    x = 47,716,579,701.56/145,494
  6. Step 6: Final answer
    x = 327,962.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.