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Finding the Third Proportional to 131,684.50 and 197,165.75

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Solution

The third proportional to 131,684.50 and 197,165.75 is: 295,208.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,684.50 : 197,165.75 = 197,165.75 : x
  2. Step 2: Convert to fraction form
    131,684.50/197,165.75 = 197,165.75/x
  3. Step 3: Cross multiply
    131,684.50x = 197,165.75 × 197,165.75
  4. Step 4: Simplify right side
    131,684.50x = 38,874,332,973.06
  5. Step 5: Solve for x
    x = 38,874,332,973.06/131,684.50
  6. Step 6: Final answer
    x = 295,208.11

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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.