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Finding the Third Proportional to 188,022.20 and 291,263.98

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Solution

The third proportional to 188,022.20 and 291,263.98 is: 451,195.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,022.20 : 291,263.98 = 291,263.98 : x
  2. Step 2: Convert to fraction form
    188,022.20/291,263.98 = 291,263.98/x
  3. Step 3: Cross multiply
    188,022.20x = 291,263.98 × 291,263.98
  4. Step 4: Simplify right side
    188,022.20x = 84,834,704,043.00
  5. Step 5: Solve for x
    x = 84,834,704,043.00/188,022.20
  6. Step 6: Final answer
    x = 451,195.15

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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.