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Finding the Third Proportional to 188,023.50 and 291,280.50

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Solution

The third proportional to 188,023.50 and 291,280.50 is: 451,243.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,023.50 : 291,280.50 = 291,280.50 : x
  2. Step 2: Convert to fraction form
    188,023.50/291,280.50 = 291,280.50/x
  3. Step 3: Cross multiply
    188,023.50x = 291,280.50 × 291,280.50
  4. Step 4: Simplify right side
    188,023.50x = 84,844,329,680.25
  5. Step 5: Solve for x
    x = 84,844,329,680.25/188,023.50
  6. Step 6: Final answer
    x = 451,243.22

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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.