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Finding the Third Proportional to 145,566 and 220,975

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Solution

The third proportional to 145,566 and 220,975 is: 335,448.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,566 : 220,975 = 220,975 : x
  2. Step 2: Convert to fraction form
    145,566/220,975 = 220,975/x
  3. Step 3: Cross multiply
    145,566x = 220,975 × 220,975
  4. Step 4: Simplify right side
    145,566x = 48,829,950,625
  5. Step 5: Solve for x
    x = 48,829,950,625/145,566
  6. Step 6: Final answer
    x = 335,448.87

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.