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Finding the Third Proportional to 250.12 and 575.70

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Solution

The third proportional to 250.12 and 575.70 is: 1,325.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.12 : 575.70 = 575.70 : x
  2. Step 2: Convert to fraction form
    250.12/575.70 = 575.70/x
  3. Step 3: Cross multiply
    250.12x = 575.70 × 575.70
  4. Step 4: Simplify right side
    250.12x = 331,431.84
  5. Step 5: Solve for x
    x = 331,431.84/250.12
  6. Step 6: Final answer
    x = 1,325.10

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.