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Finding the Third Proportional to 255,320.44 and 384,081.75

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Solution

The third proportional to 255,320.44 and 384,081.75 is: 577,779.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,320.44 : 384,081.75 = 384,081.75 : x
  2. Step 2: Convert to fraction form
    255,320.44/384,081.75 = 384,081.75/x
  3. Step 3: Cross multiply
    255,320.44x = 384,081.75 × 384,081.75
  4. Step 4: Simplify right side
    255,320.44x = 147,518,790,683.06
  5. Step 5: Solve for x
    x = 147,518,790,683.06/255,320.44
  6. Step 6: Final answer
    x = 577,779.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.