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Finding the Third Proportional to 141,251.25 and 209,433

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Solution

The third proportional to 141,251.25 and 209,433 is: 310,525.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,251.25 : 209,433 = 209,433 : x
  2. Step 2: Convert to fraction form
    141,251.25/209,433 = 209,433/x
  3. Step 3: Cross multiply
    141,251.25x = 209,433 × 209,433
  4. Step 4: Simplify right side
    141,251.25x = 43,862,181,489
  5. Step 5: Solve for x
    x = 43,862,181,489/141,251.25
  6. Step 6: Final answer
    x = 310,525.97

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.