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Finding the Third Proportional to 225.70 and 469.30

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Solution

The third proportional to 225.70 and 469.30 is: 975.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.70 : 469.30 = 469.30 : x
  2. Step 2: Convert to fraction form
    225.70/469.30 = 469.30/x
  3. Step 3: Cross multiply
    225.70x = 469.30 × 469.30
  4. Step 4: Simplify right side
    225.70x = 220,243.22
  5. Step 5: Solve for x
    x = 220,243.22/225.70
  6. Step 6: Final answer
    x = 975.81

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.