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Finding the Third Proportional to 105,637.50 and 226,647

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Solution

The third proportional to 105,637.50 and 226,647 is: 486,274.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,637.50 : 226,647 = 226,647 : x
  2. Step 2: Convert to fraction form
    105,637.50/226,647 = 226,647/x
  3. Step 3: Cross multiply
    105,637.50x = 226,647 × 226,647
  4. Step 4: Simplify right side
    105,637.50x = 51,368,862,609
  5. Step 5: Solve for x
    x = 51,368,862,609/105,637.50
  6. Step 6: Final answer
    x = 486,274.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.