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Finding the Third Proportional to 202 and 304.25

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Solution

The third proportional to 202 and 304.25 is: 458.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    202 : 304.25 = 304.25 : x
  2. Step 2: Convert to fraction form
    202/304.25 = 304.25/x
  3. Step 3: Cross multiply
    202x = 304.25 × 304.25
  4. Step 4: Simplify right side
    202x = 92,568.06
  5. Step 5: Solve for x
    x = 92,568.06/202
  6. Step 6: Final answer
    x = 458.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.