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Finding the Third Proportional to 204,708 and 301,210.50

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Solution

The third proportional to 204,708 and 301,210.50 is: 443,205.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,708 : 301,210.50 = 301,210.50 : x
  2. Step 2: Convert to fraction form
    204,708/301,210.50 = 301,210.50/x
  3. Step 3: Cross multiply
    204,708x = 301,210.50 × 301,210.50
  4. Step 4: Simplify right side
    204,708x = 90,727,765,310.25
  5. Step 5: Solve for x
    x = 90,727,765,310.25/204,708
  6. Step 6: Final answer
    x = 443,205.76

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.