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Finding the Third Proportional to 188,113.50 and 291,395.25

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Solution

The third proportional to 188,113.50 and 291,395.25 is: 451,382.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,113.50 : 291,395.25 = 291,395.25 : x
  2. Step 2: Convert to fraction form
    188,113.50/291,395.25 = 291,395.25/x
  3. Step 3: Cross multiply
    188,113.50x = 291,395.25 × 291,395.25
  4. Step 4: Simplify right side
    188,113.50x = 84,911,191,722.56
  5. Step 5: Solve for x
    x = 84,911,191,722.56/188,113.50
  6. Step 6: Final answer
    x = 451,382.76

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.