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Finding the Third Proportional to 131,303.25 and 196,905.38

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Solution

The third proportional to 131,303.25 and 196,905.38 is: 295,283.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,303.25 : 196,905.38 = 196,905.38 : x
  2. Step 2: Convert to fraction form
    131,303.25/196,905.38 = 196,905.38/x
  3. Step 3: Cross multiply
    131,303.25x = 196,905.38 × 196,905.38
  4. Step 4: Simplify right side
    131,303.25x = 38,771,726,703.89
  5. Step 5: Solve for x
    x = 38,771,726,703.89/131,303.25
  6. Step 6: Final answer
    x = 295,283.83

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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.