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Finding the Third Proportional to 145,181 and 217,772

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Solution

The third proportional to 145,181 and 217,772 is: 326,658.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,181 : 217,772 = 217,772 : x
  2. Step 2: Convert to fraction form
    145,181/217,772 = 217,772/x
  3. Step 3: Cross multiply
    145,181x = 217,772 × 217,772
  4. Step 4: Simplify right side
    145,181x = 47,424,643,984
  5. Step 5: Solve for x
    x = 47,424,643,984/145,181
  6. Step 6: Final answer
    x = 326,658.75

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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.