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Finding the Third Proportional to 175,020.75 and 383,944.50

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Solution

The third proportional to 175,020.75 and 383,944.50 is: 842,262.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,020.75 : 383,944.50 = 383,944.50 : x
  2. Step 2: Convert to fraction form
    175,020.75/383,944.50 = 383,944.50/x
  3. Step 3: Cross multiply
    175,020.75x = 383,944.50 × 383,944.50
  4. Step 4: Simplify right side
    175,020.75x = 147,413,379,080.25
  5. Step 5: Solve for x
    x = 147,413,379,080.25/175,020.75
  6. Step 6: Final answer
    x = 842,262.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.