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Finding the Third Proportional to 185,358.75 and 278,038.31

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Solution

The third proportional to 185,358.75 and 278,038.31 is: 417,057.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,358.75 : 278,038.31 = 278,038.31 : x
  2. Step 2: Convert to fraction form
    185,358.75/278,038.31 = 278,038.31/x
  3. Step 3: Cross multiply
    185,358.75x = 278,038.31 × 278,038.31
  4. Step 4: Simplify right side
    185,358.75x = 77,305,303,217.85
  5. Step 5: Solve for x
    x = 77,305,303,217.85/185,358.75
  6. Step 6: Final answer
    x = 417,057.75

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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.