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Finding the Third Proportional to 176,787 and 381,811.50

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Solution

The third proportional to 176,787 and 381,811.50 is: 824,608.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,787 : 381,811.50 = 381,811.50 : x
  2. Step 2: Convert to fraction form
    176,787/381,811.50 = 381,811.50/x
  3. Step 3: Cross multiply
    176,787x = 381,811.50 × 381,811.50
  4. Step 4: Simplify right side
    176,787x = 145,780,021,532.25
  5. Step 5: Solve for x
    x = 145,780,021,532.25/176,787
  6. Step 6: Final answer
    x = 824,608.27

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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.