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Finding the Third Proportional to 255,078.75 and 381,285.75

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Solution

The third proportional to 255,078.75 and 381,285.75 is: 569,937.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,078.75 : 381,285.75 = 381,285.75 : x
  2. Step 2: Convert to fraction form
    255,078.75/381,285.75 = 381,285.75/x
  3. Step 3: Cross multiply
    255,078.75x = 381,285.75 × 381,285.75
  4. Step 4: Simplify right side
    255,078.75x = 145,378,823,153.06
  5. Step 5: Solve for x
    x = 145,378,823,153.06/255,078.75
  6. Step 6: Final answer
    x = 569,937.02

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.