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Finding the Third Proportional to 237,204 and 510,675.75

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Solution

The third proportional to 237,204 and 510,675.75 is: 1,099,432.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,204 : 510,675.75 = 510,675.75 : x
  2. Step 2: Convert to fraction form
    237,204/510,675.75 = 510,675.75/x
  3. Step 3: Cross multiply
    237,204x = 510,675.75 × 510,675.75
  4. Step 4: Simplify right side
    237,204x = 260,789,721,638.06
  5. Step 5: Solve for x
    x = 260,789,721,638.06/237,204
  6. Step 6: Final answer
    x = 1,099,432.23

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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.