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Finding the Third Proportional to 162,558 and 232,011

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Solution

The third proportional to 162,558 and 232,011 is: 331,137.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,558 : 232,011 = 232,011 : x
  2. Step 2: Convert to fraction form
    162,558/232,011 = 232,011/x
  3. Step 3: Cross multiply
    162,558x = 232,011 × 232,011
  4. Step 4: Simplify right side
    162,558x = 53,829,104,121
  5. Step 5: Solve for x
    x = 53,829,104,121/162,558
  6. Step 6: Final answer
    x = 331,137.83

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.