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Finding the Third Proportional to 165,027 and 247,905

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Solution

The third proportional to 165,027 and 247,905 is: 372,405.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,027 : 247,905 = 247,905 : x
  2. Step 2: Convert to fraction form
    165,027/247,905 = 247,905/x
  3. Step 3: Cross multiply
    165,027x = 247,905 × 247,905
  4. Step 4: Simplify right side
    165,027x = 61,456,889,025
  5. Step 5: Solve for x
    x = 61,456,889,025/165,027
  6. Step 6: Final answer
    x = 372,405.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.