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Finding the Third Proportional to 131,323.50 and 191,244.38

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Solution

The third proportional to 131,323.50 and 191,244.38 is: 278,506.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,323.50 : 191,244.38 = 191,244.38 : x
  2. Step 2: Convert to fraction form
    131,323.50/191,244.38 = 191,244.38/x
  3. Step 3: Cross multiply
    131,323.50x = 191,244.38 × 191,244.38
  4. Step 4: Simplify right side
    131,323.50x = 36,574,410,969.14
  5. Step 5: Solve for x
    x = 36,574,410,969.14/131,323.50
  6. Step 6: Final answer
    x = 278,506.22

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.