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Finding the Third Proportional to 175,775.06 and 378,533.25

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Solution

The third proportional to 175,775.06 and 378,533.25 is: 815,174.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,775.06 : 378,533.25 = 378,533.25 : x
  2. Step 2: Convert to fraction form
    175,775.06/378,533.25 = 378,533.25/x
  3. Step 3: Cross multiply
    175,775.06x = 378,533.25 × 378,533.25
  4. Step 4: Simplify right side
    175,775.06x = 143,287,421,355.56
  5. Step 5: Solve for x
    x = 143,287,421,355.56/175,775.06
  6. Step 6: Final answer
    x = 815,174.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.