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Finding the Third Proportional to 212.63 and 465.38

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Solution

The third proportional to 212.63 and 465.38 is: 1,018.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.63 : 465.38 = 465.38 : x
  2. Step 2: Convert to fraction form
    212.63/465.38 = 465.38/x
  3. Step 3: Cross multiply
    212.63x = 465.38 × 465.38
  4. Step 4: Simplify right side
    212.63x = 216,573.89
  5. Step 5: Solve for x
    x = 216,573.89/212.63
  6. Step 6: Final answer
    x = 1,018.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.