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Finding the Third Proportional to 162,006.75 and 243,009

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Solution

The third proportional to 162,006.75 and 243,009 is: 364,511.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,006.75 : 243,009 = 243,009 : x
  2. Step 2: Convert to fraction form
    162,006.75/243,009 = 243,009/x
  3. Step 3: Cross multiply
    162,006.75x = 243,009 × 243,009
  4. Step 4: Simplify right side
    162,006.75x = 59,053,374,081
  5. Step 5: Solve for x
    x = 59,053,374,081/162,006.75
  6. Step 6: Final answer
    x = 364,511.81

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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.