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Finding the Third Proportional to 188,897.06 and 408,245.06

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Solution

The third proportional to 188,897.06 and 408,245.06 is: 882,300.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,897.06 : 408,245.06 = 408,245.06 : x
  2. Step 2: Convert to fraction form
    188,897.06/408,245.06 = 408,245.06/x
  3. Step 3: Cross multiply
    188,897.06x = 408,245.06 × 408,245.06
  4. Step 4: Simplify right side
    188,897.06x = 166,664,031,055.63
  5. Step 5: Solve for x
    x = 166,664,031,055.63/188,897.06
  6. Step 6: Final answer
    x = 882,300.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.