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Finding the Third Proportional to 283,297.50 and 442,179

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Solution

The third proportional to 283,297.50 and 442,179 is: 690,165.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,297.50 : 442,179 = 442,179 : x
  2. Step 2: Convert to fraction form
    283,297.50/442,179 = 442,179/x
  3. Step 3: Cross multiply
    283,297.50x = 442,179 × 442,179
  4. Step 4: Simplify right side
    283,297.50x = 195,522,268,041
  5. Step 5: Solve for x
    x = 195,522,268,041/283,297.50
  6. Step 6: Final answer
    x = 690,165.88

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.