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Finding the Third Proportional to 162,789 and 244,011

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Solution

The third proportional to 162,789 and 244,011 is: 365,757.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,789 : 244,011 = 244,011 : x
  2. Step 2: Convert to fraction form
    162,789/244,011 = 244,011/x
  3. Step 3: Cross multiply
    162,789x = 244,011 × 244,011
  4. Step 4: Simplify right side
    162,789x = 59,541,368,121
  5. Step 5: Solve for x
    x = 59,541,368,121/162,789
  6. Step 6: Final answer
    x = 365,757.93

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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.