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Finding the Third Proportional to 207,452 and 283,911.50

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Solution

The third proportional to 207,452 and 283,911.50 is: 388,551.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,452 : 283,911.50 = 283,911.50 : x
  2. Step 2: Convert to fraction form
    207,452/283,911.50 = 283,911.50/x
  3. Step 3: Cross multiply
    207,452x = 283,911.50 × 283,911.50
  4. Step 4: Simplify right side
    207,452x = 80,605,739,832.25
  5. Step 5: Solve for x
    x = 80,605,739,832.25/207,452
  6. Step 6: Final answer
    x = 388,551.28

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.