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Finding the Third Proportional to 240,237 and 368,500

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Solution

The third proportional to 240,237 and 368,500 is: 565,242.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,237 : 368,500 = 368,500 : x
  2. Step 2: Convert to fraction form
    240,237/368,500 = 368,500/x
  3. Step 3: Cross multiply
    240,237x = 368,500 × 368,500
  4. Step 4: Simplify right side
    240,237x = 135,792,250,000
  5. Step 5: Solve for x
    x = 135,792,250,000/240,237
  6. Step 6: Final answer
    x = 565,242.86

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.