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Finding the Third Proportional to 188,380 and 409,160

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Solution

The third proportional to 188,380 and 409,160 is: 888,692.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,380 : 409,160 = 409,160 : x
  2. Step 2: Convert to fraction form
    188,380/409,160 = 409,160/x
  3. Step 3: Cross multiply
    188,380x = 409,160 × 409,160
  4. Step 4: Simplify right side
    188,380x = 167,411,905,600
  5. Step 5: Solve for x
    x = 167,411,905,600/188,380
  6. Step 6: Final answer
    x = 888,692.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.