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Finding the Third Proportional to 195,027.75 and 310,306.50

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Solution

The third proportional to 195,027.75 and 310,306.50 is: 493,725.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,027.75 : 310,306.50 = 310,306.50 : x
  2. Step 2: Convert to fraction form
    195,027.75/310,306.50 = 310,306.50/x
  3. Step 3: Cross multiply
    195,027.75x = 310,306.50 × 310,306.50
  4. Step 4: Simplify right side
    195,027.75x = 96,290,123,942.25
  5. Step 5: Solve for x
    x = 96,290,123,942.25/195,027.75
  6. Step 6: Final answer
    x = 493,725.25

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.