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Finding the Third Proportional to 188,564.06 and 409,271.44

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Solution

The third proportional to 188,564.06 and 409,271.44 is: 888,308.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,564.06 : 409,271.44 = 409,271.44 : x
  2. Step 2: Convert to fraction form
    188,564.06/409,271.44 = 409,271.44/x
  3. Step 3: Cross multiply
    188,564.06x = 409,271.44 × 409,271.44
  4. Step 4: Simplify right side
    188,564.06x = 167,503,109,553.32
  5. Step 5: Solve for x
    x = 167,503,109,553.32/188,564.06
  6. Step 6: Final answer
    x = 888,308.77

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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.