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Finding the Third Proportional to 246.19 and 522.38

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Solution

The third proportional to 246.19 and 522.38 is: 1,108.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.19 : 522.38 = 522.38 : x
  2. Step 2: Convert to fraction form
    246.19/522.38 = 522.38/x
  3. Step 3: Cross multiply
    246.19x = 522.38 × 522.38
  4. Step 4: Simplify right side
    246.19x = 272,875.64
  5. Step 5: Solve for x
    x = 272,875.64/246.19
  6. Step 6: Final answer
    x = 1,108.41

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.