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Finding the Third Proportional to 244,147.50 and 534,843

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Solution

The third proportional to 244,147.50 and 534,843 is: 1,171,656.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,147.50 : 534,843 = 534,843 : x
  2. Step 2: Convert to fraction form
    244,147.50/534,843 = 534,843/x
  3. Step 3: Cross multiply
    244,147.50x = 534,843 × 534,843
  4. Step 4: Simplify right side
    244,147.50x = 286,057,034,649
  5. Step 5: Solve for x
    x = 286,057,034,649/244,147.50
  6. Step 6: Final answer
    x = 1,171,656.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.