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Finding the Third Proportional to 258,977.25 and 378,533.25

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Solution

The third proportional to 258,977.25 and 378,533.25 is: 553,281.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,977.25 : 378,533.25 = 378,533.25 : x
  2. Step 2: Convert to fraction form
    258,977.25/378,533.25 = 378,533.25/x
  3. Step 3: Cross multiply
    258,977.25x = 378,533.25 × 378,533.25
  4. Step 4: Simplify right side
    258,977.25x = 143,287,421,355.56
  5. Step 5: Solve for x
    x = 143,287,421,355.56/258,977.25
  6. Step 6: Final answer
    x = 553,281.89

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.