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Finding the Third Proportional to 176,333.50 and 247,775

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Solution

The third proportional to 176,333.50 and 247,775 is: 348,161.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,333.50 : 247,775 = 247,775 : x
  2. Step 2: Convert to fraction form
    176,333.50/247,775 = 247,775/x
  3. Step 3: Cross multiply
    176,333.50x = 247,775 × 247,775
  4. Step 4: Simplify right side
    176,333.50x = 61,392,450,625
  5. Step 5: Solve for x
    x = 61,392,450,625/176,333.50
  6. Step 6: Final answer
    x = 348,161.02

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.