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Finding the Third Proportional to 236,002.50 and 353,922

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Solution

The third proportional to 236,002.50 and 353,922 is: 530,760.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,002.50 : 353,922 = 353,922 : x
  2. Step 2: Convert to fraction form
    236,002.50/353,922 = 353,922/x
  3. Step 3: Cross multiply
    236,002.50x = 353,922 × 353,922
  4. Step 4: Simplify right side
    236,002.50x = 125,260,782,084
  5. Step 5: Solve for x
    x = 125,260,782,084/236,002.50
  6. Step 6: Final answer
    x = 530,760.40

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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.