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Finding the Third Proportional to 188,230.50 and 405,297

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Solution

The third proportional to 188,230.50 and 405,297 is: 872,683.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,230.50 : 405,297 = 405,297 : x
  2. Step 2: Convert to fraction form
    188,230.50/405,297 = 405,297/x
  3. Step 3: Cross multiply
    188,230.50x = 405,297 × 405,297
  4. Step 4: Simplify right side
    188,230.50x = 164,265,658,209
  5. Step 5: Solve for x
    x = 164,265,658,209/188,230.50
  6. Step 6: Final answer
    x = 872,683.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.