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Finding the Third Proportional to 236,002.50 and 353,931.75

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Solution

The third proportional to 236,002.50 and 353,931.75 is: 530,789.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,002.50 : 353,931.75 = 353,931.75 : x
  2. Step 2: Convert to fraction form
    236,002.50/353,931.75 = 353,931.75/x
  3. Step 3: Cross multiply
    236,002.50x = 353,931.75 × 353,931.75
  4. Step 4: Simplify right side
    236,002.50x = 125,267,683,658.06
  5. Step 5: Solve for x
    x = 125,267,683,658.06/236,002.50
  6. Step 6: Final answer
    x = 530,789.65

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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.