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Finding the Third Proportional to 195,274.88 and 292,912.50

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Solution

The third proportional to 195,274.88 and 292,912.50 is: 439,369.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,274.88 : 292,912.50 = 292,912.50 : x
  2. Step 2: Convert to fraction form
    195,274.88/292,912.50 = 292,912.50/x
  3. Step 3: Cross multiply
    195,274.88x = 292,912.50 × 292,912.50
  4. Step 4: Simplify right side
    195,274.88x = 85,797,732,656.25
  5. Step 5: Solve for x
    x = 85,797,732,656.25/195,274.88
  6. Step 6: Final answer
    x = 439,369.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.