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Finding the Third Proportional to 145,147.50 and 219,908.25

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Solution

The third proportional to 145,147.50 and 219,908.25 is: 333,175.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,147.50 : 219,908.25 = 219,908.25 : x
  2. Step 2: Convert to fraction form
    145,147.50/219,908.25 = 219,908.25/x
  3. Step 3: Cross multiply
    145,147.50x = 219,908.25 × 219,908.25
  4. Step 4: Simplify right side
    145,147.50x = 48,359,638,418.06
  5. Step 5: Solve for x
    x = 48,359,638,418.06/145,147.50
  6. Step 6: Final answer
    x = 333,175.83

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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.