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Finding the Third Proportional to 188,025 and 291,282.75

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Solution

The third proportional to 188,025 and 291,282.75 is: 451,246.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,025 : 291,282.75 = 291,282.75 : x
  2. Step 2: Convert to fraction form
    188,025/291,282.75 = 291,282.75/x
  3. Step 3: Cross multiply
    188,025x = 291,282.75 × 291,282.75
  4. Step 4: Simplify right side
    188,025x = 84,845,640,447.56
  5. Step 5: Solve for x
    x = 84,845,640,447.56/188,025
  6. Step 6: Final answer
    x = 451,246.59

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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.